From high to low temperature, the model transitions from . (2018). The model consists of N Majorana fermions with random interactions of a few fermions at a time. In condensed matter physics and black hole physics, the Sachdev-Ye-Kitaev ( SYK) model is an exactly solvable model initially proposed by Subir Sachdev and Jinwu Ye, [1] and later modified by Alexei Kitaev to the present commonly used form. We shall present numerical solutions of the Kadano -Baym Originally formulated by Sachdev and Ye in terms of ran-domly interacting SU(M) spins [7], the model has seen a recent surge of interest due to the insight by . Journal of High Energy Physics, 2018(5). We study a quantum-mechanical model proposed by Sachdev, Ye and Kitaev. N Majoranas [7], the so-called Sachdev-Ye-Kitaev (SYK) model, has attracted a lot of attention as a toy model for holography and for its potential to reveal novel insights in the dynamics of strongly interacting quantum matter.

Abstract. 1: Schematic of the topological Sachdev-Ye-Kitaev model. The four-point function is . [2][3] The model is believed to bring insights into the understanding of strongly correlated materials and it also has a . Because of its simplicity, it is easy to consider the thermal and chaotic behavior of this theory and its gravity dual. It is a simple variant of a model introduced by Sachdev and Ye ( Sachdev-Ye 93 ), which was first discussed in relation to holography in ( Sachdev 10 ). Authors: You, Yi-Zhuang; Ludwig, Andreas W.; Xu, Cenke Publication Date: 2017-03-01 NSF-PAR ID: 10024189 Journal Name: Physical Review B Volume: 95 Issue: 11 ISSN: 2469-9950 The Sachdev-Ye-Kitaev (SYK) model is an all-to-all interacting Majorana fermion model for many-body quantum chaos and the holographic correspondence. Pages Latest Revisions Discuss this page ContextKnot theoryknot theoryknot, linkisotopyknot complementknot diagrams, chord diagramReidemeister moveExamples classes trefoil knottorus knotsingular knothyperbolic knotBorromean linkWhitehead linkHopf linkTypesprime knotmutant knotknot invariantscrossing numberbridge numberunknotting numbercolorabilityknot groupknot genus polynomial knot invariants . The field theory side follows from the complex Sachdev-Ye-Kitaev model in the limit of large specific heat and vanishing compressibility. Find methods information, sources, references or conduct a literature review on . We provide a general definition of the charge in the (G, ) formalism, and compute its universal relation to the infrared The Sachdev-Ye-Kitaev (SYK) model that describes randomly interacting degrees of freedom is a toy model for such a non-Fermi liquid phase [7,8], often referred to as a strange metal. We show that the maximal chaotic non-Fermi-liquid phase described by the ordinary q=4 SYK model has marginally relevant or . In condensed matter physics and black hole physics, the Sachdev-Ye-Kitaev (SYK) model is an exactly solvable model initially proposed by Subir Sachdev and Jinwu Ye, and later modified by Alexei Kitaev to the present commonly used form. [2][3] The model is believed to bring insights into the understanding of strongly correlated materials and it also has a close relation with the discrete model . As a specific example, we consider the Sachdev-Ye-Kitaev (SYK) model, which consists of spin-polarized fermions with an all-to-all complex random two-body hopping and has been conjectured to be dual to a certain quantum-gravitational system. It it tractable in the large limit, where the classical variable is a bilocal fermion bilinear. The Sachdev-Ye-Kitaev quantum mechanics model, black holes, and random matricesDouglas StanfordMember, School of Natural SciencesOctober 26, 2016 Kitaev is also known for contributions to research on a model relevant to researchers of the AdS/CFT correspondence started by Subir Sachdev and Jinwu Ye; this model is known as the Sachdev-Ye-Kitaev (SYK) model. In this work, we consider a generalization of the SYK model that contains two SYK models with a different number of Majorana modes coupled by quadratic terms. Recently, Kitaev has found that the SYK model is maximally chaotic and has proposed it as a model of holography. We argue that the structure of the soft-mode Schwarzian action is qualitatively different in replica-diagonal vs . The Sachdev-Ye-Kitaev (SYK) model is an all-to-all interacting Majorana fermion model for many-body quantum chaos and the holographic correspondence.

We derive the boundary action analogous to the Schwarzian as the key link between gravity and field theory sides and show that it coincides with a geometric action discovered recently by one of us [H. R . Look at the following papers for the details: Maldacena, Stanford "Comments on the Sachdev-Ye-Kitaev . Kitaev, A., & Suh, S. J. There is also a collection of 2.3 million modern eBooks that may be borrowed by anyone with a free archive.org account. However, its . for the Sachdev-Ye-Kitaev (SYK) models [10{12] with all-to-all and random interactions between qMajorana fermions on N sites. Closed Quantum Systems Quantum Mechanics is unitary! On each site, di erent color represents di erent In condensed matter physics and black hole physics, the Sachdev-Ye-Kitaev (SYK) model (commonly known as SYK model) is an exactly solvable model initially proposed by Subir Sachdev and Jinwu Ye,[1] and later modified by Alexei Kitaev to the present commonly used form. Pages Latest Revisions Discuss this page ContextDuality string theoryduality string theorygeneral mechanismsT duality topological duality, non abelian duality mirror symmetryS dualityelectric magnetic duality, Montonen Olive duality, geometric Langlands dualityU dualityexceptional generalized geometrystring fivebrane dualitydual heterotic. In condensed matter physics and black hole physics, the Sachdev-Ye-Kitaev (SYK) model commonly known as SYK model is an exactly solvable model initially proposed by Subir Sachdev and Jinwu Ye,[1] and later modified by Alexei Kitaev to the present commonly used form. The resulting periodic potential may trap neutral atoms via the Stark shift. I would say there are many aspects that Subir has inspired me, his physics tastes and insights, his enthusiasm towards physics, his extraordinary technical skills and many more. This model is also solvable, and . The Sachdev-Ye-Kitaev (SYK) model describes Majorana fermions with random interaction, which displays many interesting properties such as non-Fermi liquid behavior, quantum chaos, emergent conformal symmetry and holographic duality. Thank Subir for introducing me the interesting Sachdev-Ye-Kitaev model that this thesis is based on, I enjoyed a lot when studying and exploring. In condensed matter physics it was proposed as a model for a spin liquid by Sachdev and Ye, but the model only really took off a few years ago after Kitaev introduced it as a model for a black hole. In the low-temperature (strong-coupling) limit, the SYK model shares the same pattern of soft breaking of conformal The SYK model is an exactly solvable model that is hoped to bring insights into the understanding of strongly correlated materials. Comments on the Sachdev-Ye-Kitaev model. We show that the proper inclusion of soft reparameterization modes in the Sachdev-Ye-Kitaev model of N randomly interacting Majorana fermions reduces its long-time behavior to that of Liouville quantum mechanics. Alexander Altland, Dmitry Bagrets, Alex Kamenev. Here we construct fermionic all-to-all Floquet quantum circuits of random four-body gates designed to capture key features of SYK dynamics. Sachdev-Ye-Kitaev model. We solve the SchwingerDyson equation and compute the spectrum of two-particle states in SYK, finding both a continuous and discrete tower. Sachdev-Ye-Kitaev Model Exactly Solvable in Large N: Minimal Model for Non-Fermi-Liquid (gapless, but no quasiparticles) Fluctuations beyond Large N described by Schwartzian Action (gravity analogue) Sachdev&Ye, Georges, Parcollet&Sachdev, Kitaev, Stanford&Maldacena,.. Maximally Chaotic Saturates the Bound on Chaos How come we observe thermal physics? The main part discusses different aspects of SYK models. It it tractable in the large-N limit, where the classical variable is a bilocal fermion bilinear.The model becomes strongly interacting at low energies where it develops an emergent conformal symmetry. Sachdev-Ye-Kitaev model and thermalization on the boundary of many-body localized fermionic symmetry-protected topological states. Motivated by multi-charge . Remarks on Replica Method and Sachdev-Ye-Kitaev Model. In condensed matter physics and black hole physics, the Sachdev-Ye-Kitaev model is an exactly solvable model initially proposed by Subir Sachdev and Jinwu Ye,[1] and later modified by Alexei Kitaev to the present commonly used form. We study stability of the Sachdev-Ye-Kitaev (SYK_{4}) model with a large but finite number of fermions N with respect to a perturbation, quadratic in fermionic operators. On each site, di erent color represents di erent Keywords frequently search together with Superconducting Fluctuation Narrow sentence examples with built-in keyword filters Explore the latest full-text research PDFs, articles, conference papers, preprints and more on SUPERCONDUCTIVITY. (arXiv:2002.04313v2 [hep-th] UPDATED) Ming Chen, Yao-Zhong Zhang.

Abstract: Abstract We investigate the thermal transport properties of three kinds of multilayer structures: a perfect superlattice (SL) structure, a quasi-periodic multilayer structure consisted of two superlattice (2SL) structures with different periods, and a random multilayer (RML) structure. N. N Majorana fermions interacting with random interactions ( Kitaev 15 ). doi:10.1007/jhep05(2018)183 Page All Pages Latest Revisions Discuss this page ContextSolid state physicsbasicsSlater determinantdegeneracy pressurecrystalcrystallographic groupBravais . [2] [3] The model is believed to bring insights into the understanding . [Sachdev-Ye '93; Kitaev '15] Solvable Limit of SYK 8 [2][3] The model is believed to bring insights into the understanding of strongly correlated materials and it also has a close relation with the discrete model . Quantum advantage in the charging process of Sachdev-Ye-Kitaev batteries Davide Rossini,1,2, Gian Marcello Andolina,3,4, yDario Rosa,5 Matteo Carrega,6 and Marco Polini1,7,4 1Dipartimento di Fisica dell'Universit a di Pisa, Largo Bruno Pontecorvo 3, I-56127 Pisa, Italy 2INFN, Sezione di Pisa, Largo Bruno Pontecorvo 3, I-56127 Pisa, Italy 3NEST, Scuola Normale Superiore, I-56126 Pisa, Italy The same relation is obtained by a renormalization . A quantum phase transition from a chaotic state to an integrable state is . A schematic phase diagram showing the behavior of the Sachdev-Ye-Kitaev model for different regimes of temperature and system size. | (t)i = U (t,t .

Instead of satisfying a continuous Gaussian distribution, the interaction strengths are assumed to be chosen from discrete values with a finite separation. We study a simplified version of the Sachdev-Ye-Kitaev (SYK) model with real interactions by exact diagonalization. During the construction, we recall the technical e. . "In recent years, much attention has been paid to the Sachdev-Ye-Kitaev (SYK) model whose low energy dynamicsthe so-called Schwarzian theoryis also Liked by Subhasis Ghosh "He is 85 and insists on taking his wife's hand everywhere they go. An optical lattice is formed by the interference of counter-propagating laser beams, creating a spatially periodic polarization pattern. They are the nonrandom counterparts of the Sachdev-Ye-Kitaev (SYK . These models are solvable realizations of quan-tum matter without quasiparticles in equilibrium, and here we shall extend their study to non-equilibrium dynamics. Here we consider a SYK model or a chain of SYK models with N Majorana fermion modes coupled to another SYK model with N 2 Majorana fermion modes, in which the . Abstract. A quantum phase transition from a chaotic state to an integrable . ical Sachdev-Ye-Kitaev model". Digitala Vetenskapliga Arkivet . Download PDF. Physics and Astronomy (Twin Cities) . The periodic Anderson model is a classic theoretical model for understanding novel physics in heavy fermion systems. The Sachdev-Ye-Kitaev (SYK) model is a concrete solvable model to study non-Fermi liquid properties, holographic duality, and maximally chaotic behavior. We study a simplified version of the Sachdev-Ye-Kitaev (SYK) model with real interactions by exact diagonalization. Page All Pages Latest Revisions Discuss this page ContextKnot theoryknot theoryknot, linkisotopyknot complementknot diagrams, chord diagramReidemeister moveExamples classes trefoil knottorus knotsingular knothyperbolic knotBorromean linkWhitehead linkHopf linkTypesprime knotmutant knotknot invariantscrossing numberbridge numberunknotting numbercolorabilityknot groupknot genus polynomial knot . The model becomes strongly interacting at . Published for SISSA by Springer Received: June 19, 2018 Revised: September 26, 2018 Accepted: October 16, 2018 Published: November 6, 2018 Large N expansion of the moments and free energy JHEP11(2018)031 of Sachdev-Ye-Kitaev model, and the enumeration of intersection graphs Yiyang Jia and Jacobus J.M. We derive the boundary action analogous to the Schwarzian as the key link between gravity and field theory sides and show that it coincides with a geometric action discovered recently by one of us [H. R .

Abstract. 1: Schematic of the topological Sachdev-Ye-Kitaev model. The four-point function is . [2][3] The model is believed to bring insights into the understanding of strongly correlated materials and it also has a . Because of its simplicity, it is easy to consider the thermal and chaotic behavior of this theory and its gravity dual. It is a simple variant of a model introduced by Sachdev and Ye ( Sachdev-Ye 93 ), which was first discussed in relation to holography in ( Sachdev 10 ). Authors: You, Yi-Zhuang; Ludwig, Andreas W.; Xu, Cenke Publication Date: 2017-03-01 NSF-PAR ID: 10024189 Journal Name: Physical Review B Volume: 95 Issue: 11 ISSN: 2469-9950 The Sachdev-Ye-Kitaev (SYK) model is an all-to-all interacting Majorana fermion model for many-body quantum chaos and the holographic correspondence. Pages Latest Revisions Discuss this page ContextKnot theoryknot theoryknot, linkisotopyknot complementknot diagrams, chord diagramReidemeister moveExamples classes trefoil knottorus knotsingular knothyperbolic knotBorromean linkWhitehead linkHopf linkTypesprime knotmutant knotknot invariantscrossing numberbridge numberunknotting numbercolorabilityknot groupknot genus polynomial knot invariants . The field theory side follows from the complex Sachdev-Ye-Kitaev model in the limit of large specific heat and vanishing compressibility. Find methods information, sources, references or conduct a literature review on . We provide a general definition of the charge in the (G, ) formalism, and compute its universal relation to the infrared The Sachdev-Ye-Kitaev (SYK) model that describes randomly interacting degrees of freedom is a toy model for such a non-Fermi liquid phase [7,8], often referred to as a strange metal. We show that the maximal chaotic non-Fermi-liquid phase described by the ordinary q=4 SYK model has marginally relevant or . In condensed matter physics and black hole physics, the Sachdev-Ye-Kitaev (SYK) model is an exactly solvable model initially proposed by Subir Sachdev and Jinwu Ye, and later modified by Alexei Kitaev to the present commonly used form. [2][3] The model is believed to bring insights into the understanding of strongly correlated materials and it also has a close relation with the discrete model . As a specific example, we consider the Sachdev-Ye-Kitaev (SYK) model, which consists of spin-polarized fermions with an all-to-all complex random two-body hopping and has been conjectured to be dual to a certain quantum-gravitational system. It it tractable in the large limit, where the classical variable is a bilocal fermion bilinear. The Sachdev-Ye-Kitaev quantum mechanics model, black holes, and random matricesDouglas StanfordMember, School of Natural SciencesOctober 26, 2016 Kitaev is also known for contributions to research on a model relevant to researchers of the AdS/CFT correspondence started by Subir Sachdev and Jinwu Ye; this model is known as the Sachdev-Ye-Kitaev (SYK) model. In this work, we consider a generalization of the SYK model that contains two SYK models with a different number of Majorana modes coupled by quadratic terms. Recently, Kitaev has found that the SYK model is maximally chaotic and has proposed it as a model of holography. We argue that the structure of the soft-mode Schwarzian action is qualitatively different in replica-diagonal vs . The Sachdev-Ye-Kitaev (SYK) model is an all-to-all interacting Majorana fermion model for many-body quantum chaos and the holographic correspondence.

We derive the boundary action analogous to the Schwarzian as the key link between gravity and field theory sides and show that it coincides with a geometric action discovered recently by one of us [H. R . Look at the following papers for the details: Maldacena, Stanford "Comments on the Sachdev-Ye-Kitaev . Kitaev, A., & Suh, S. J. There is also a collection of 2.3 million modern eBooks that may be borrowed by anyone with a free archive.org account. However, its . for the Sachdev-Ye-Kitaev (SYK) models [10{12] with all-to-all and random interactions between qMajorana fermions on N sites. Closed Quantum Systems Quantum Mechanics is unitary! On each site, di erent color represents di erent In condensed matter physics and black hole physics, the Sachdev-Ye-Kitaev (SYK) model (commonly known as SYK model) is an exactly solvable model initially proposed by Subir Sachdev and Jinwu Ye,[1] and later modified by Alexei Kitaev to the present commonly used form. Pages Latest Revisions Discuss this page ContextDuality string theoryduality string theorygeneral mechanismsT duality topological duality, non abelian duality mirror symmetryS dualityelectric magnetic duality, Montonen Olive duality, geometric Langlands dualityU dualityexceptional generalized geometrystring fivebrane dualitydual heterotic. In condensed matter physics and black hole physics, the Sachdev-Ye-Kitaev (SYK) model commonly known as SYK model is an exactly solvable model initially proposed by Subir Sachdev and Jinwu Ye,[1] and later modified by Alexei Kitaev to the present commonly used form. The resulting periodic potential may trap neutral atoms via the Stark shift. I would say there are many aspects that Subir has inspired me, his physics tastes and insights, his enthusiasm towards physics, his extraordinary technical skills and many more. This model is also solvable, and . The Sachdev-Ye-Kitaev (SYK) model describes Majorana fermions with random interaction, which displays many interesting properties such as non-Fermi liquid behavior, quantum chaos, emergent conformal symmetry and holographic duality. Thank Subir for introducing me the interesting Sachdev-Ye-Kitaev model that this thesis is based on, I enjoyed a lot when studying and exploring. In condensed matter physics it was proposed as a model for a spin liquid by Sachdev and Ye, but the model only really took off a few years ago after Kitaev introduced it as a model for a black hole. In the low-temperature (strong-coupling) limit, the SYK model shares the same pattern of soft breaking of conformal The SYK model is an exactly solvable model that is hoped to bring insights into the understanding of strongly correlated materials. Comments on the Sachdev-Ye-Kitaev model. We show that the proper inclusion of soft reparameterization modes in the Sachdev-Ye-Kitaev model of N randomly interacting Majorana fermions reduces its long-time behavior to that of Liouville quantum mechanics. Alexander Altland, Dmitry Bagrets, Alex Kamenev. Here we construct fermionic all-to-all Floquet quantum circuits of random four-body gates designed to capture key features of SYK dynamics. Sachdev-Ye-Kitaev model. We solve the SchwingerDyson equation and compute the spectrum of two-particle states in SYK, finding both a continuous and discrete tower. Sachdev-Ye-Kitaev Model Exactly Solvable in Large N: Minimal Model for Non-Fermi-Liquid (gapless, but no quasiparticles) Fluctuations beyond Large N described by Schwartzian Action (gravity analogue) Sachdev&Ye, Georges, Parcollet&Sachdev, Kitaev, Stanford&Maldacena,.. Maximally Chaotic Saturates the Bound on Chaos How come we observe thermal physics? The main part discusses different aspects of SYK models. It it tractable in the large-N limit, where the classical variable is a bilocal fermion bilinear.The model becomes strongly interacting at low energies where it develops an emergent conformal symmetry. Sachdev-Ye-Kitaev model and thermalization on the boundary of many-body localized fermionic symmetry-protected topological states. Motivated by multi-charge . Remarks on Replica Method and Sachdev-Ye-Kitaev Model. In condensed matter physics and black hole physics, the Sachdev-Ye-Kitaev model is an exactly solvable model initially proposed by Subir Sachdev and Jinwu Ye,[1] and later modified by Alexei Kitaev to the present commonly used form. We study stability of the Sachdev-Ye-Kitaev (SYK_{4}) model with a large but finite number of fermions N with respect to a perturbation, quadratic in fermionic operators. On each site, di erent color represents di erent Keywords frequently search together with Superconducting Fluctuation Narrow sentence examples with built-in keyword filters Explore the latest full-text research PDFs, articles, conference papers, preprints and more on SUPERCONDUCTIVITY. (arXiv:2002.04313v2 [hep-th] UPDATED) Ming Chen, Yao-Zhong Zhang.

Abstract: Abstract We investigate the thermal transport properties of three kinds of multilayer structures: a perfect superlattice (SL) structure, a quasi-periodic multilayer structure consisted of two superlattice (2SL) structures with different periods, and a random multilayer (RML) structure. N. N Majorana fermions interacting with random interactions ( Kitaev 15 ). doi:10.1007/jhep05(2018)183 Page All Pages Latest Revisions Discuss this page ContextSolid state physicsbasicsSlater determinantdegeneracy pressurecrystalcrystallographic groupBravais . [2] [3] The model is believed to bring insights into the understanding . [Sachdev-Ye '93; Kitaev '15] Solvable Limit of SYK 8 [2][3] The model is believed to bring insights into the understanding of strongly correlated materials and it also has a close relation with the discrete model . Quantum advantage in the charging process of Sachdev-Ye-Kitaev batteries Davide Rossini,1,2, Gian Marcello Andolina,3,4, yDario Rosa,5 Matteo Carrega,6 and Marco Polini1,7,4 1Dipartimento di Fisica dell'Universit a di Pisa, Largo Bruno Pontecorvo 3, I-56127 Pisa, Italy 2INFN, Sezione di Pisa, Largo Bruno Pontecorvo 3, I-56127 Pisa, Italy 3NEST, Scuola Normale Superiore, I-56126 Pisa, Italy The same relation is obtained by a renormalization . A quantum phase transition from a chaotic state to an integrable state is . A schematic phase diagram showing the behavior of the Sachdev-Ye-Kitaev model for different regimes of temperature and system size. | (t)i = U (t,t .

Instead of satisfying a continuous Gaussian distribution, the interaction strengths are assumed to be chosen from discrete values with a finite separation. We study a simplified version of the Sachdev-Ye-Kitaev (SYK) model with real interactions by exact diagonalization. During the construction, we recall the technical e. . "In recent years, much attention has been paid to the Sachdev-Ye-Kitaev (SYK) model whose low energy dynamicsthe so-called Schwarzian theoryis also Liked by Subhasis Ghosh "He is 85 and insists on taking his wife's hand everywhere they go. An optical lattice is formed by the interference of counter-propagating laser beams, creating a spatially periodic polarization pattern. They are the nonrandom counterparts of the Sachdev-Ye-Kitaev (SYK . These models are solvable realizations of quan-tum matter without quasiparticles in equilibrium, and here we shall extend their study to non-equilibrium dynamics. Here we consider a SYK model or a chain of SYK models with N Majorana fermion modes coupled to another SYK model with N 2 Majorana fermion modes, in which the . Abstract. A quantum phase transition from a chaotic state to an integrable . ical Sachdev-Ye-Kitaev model". Digitala Vetenskapliga Arkivet . Download PDF. Physics and Astronomy (Twin Cities) . The periodic Anderson model is a classic theoretical model for understanding novel physics in heavy fermion systems. The Sachdev-Ye-Kitaev (SYK) model is a concrete solvable model to study non-Fermi liquid properties, holographic duality, and maximally chaotic behavior. We study a simplified version of the Sachdev-Ye-Kitaev (SYK) model with real interactions by exact diagonalization. Page All Pages Latest Revisions Discuss this page ContextKnot theoryknot theoryknot, linkisotopyknot complementknot diagrams, chord diagramReidemeister moveExamples classes trefoil knottorus knotsingular knothyperbolic knotBorromean linkWhitehead linkHopf linkTypesprime knotmutant knotknot invariantscrossing numberbridge numberunknotting numbercolorabilityknot groupknot genus polynomial knot . The model becomes strongly interacting at . Published for SISSA by Springer Received: June 19, 2018 Revised: September 26, 2018 Accepted: October 16, 2018 Published: November 6, 2018 Large N expansion of the moments and free energy JHEP11(2018)031 of Sachdev-Ye-Kitaev model, and the enumeration of intersection graphs Yiyang Jia and Jacobus J.M. We derive the boundary action analogous to the Schwarzian as the key link between gravity and field theory sides and show that it coincides with a geometric action discovered recently by one of us [H. R .