Kitaev has proposed to study a quantum mechanical model of. The field theory side follows from the complex Sachdev-Ye-Kitaev model in the limit of large specific heat and vanishing compressibility. Because of its simplicity, it is easy to consider the thermal and chaotic behavior of this theory and its gravity dual.

The main part discusses different aspects of SYK models. However, its .

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. This model has various interesting properties such as . On each site, di erent color represents di erent

The soft mode in the Sachdev-Ye-Kitaev model and its gravity dual. Previously, topologi-cal phases with interactions has been classi ed for both bosons and fermions [45, 46], for instance, by using eld theory approaches [47{51], or by utilizing mathematical FIG. The model consists of N Majorana fermions with random interactions of a few fermions at a time. [2] [3] The model is believed to bring insights into the understanding . This thesis is devoted to the study of Sachdev-Ye-Kitaev (SYK) models, which describe matter without quasiparticles.

Abstract. | (t)i = U (t,t . Our circuits can be built using local ingredients in Majorana devices, namely, charging-mediated . In the low-temperature (strong-coupling) limit, the SYK model shares the same pattern of soft breaking of conformal 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. Closed Quantum Systems Quantum Mechanics is unitary!

It it tractable in the large limit, where the classical variable is a bilocal fermion bilinear. 27 found, again at M = , a QCP separating the SY phase from a FL ground state.

doi:10.1007/jhep05(2018)183

1: Schematic of the topological Sachdev-Ye-Kitaev model. Sachdev-Ye-Kitaev model: physics and applications I, ICTP Condensed Matter and Statistical Physics, 12:46, PT1H12M46S, 17.53 MB, 731, 10, 0, 2018-08-17 10:33:51, 2022 . Verbaarschot Department of Physics and Astronomy, Stony Brook University, Stony Brook, New . The Sachdev-Ye-Kitaev (SYK) model incorporates rich physics, ranging from exotic non-Fermi liquid states without quasiparticle excitations, to holographic duality and quantum chaos. 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 .

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.

Abstract: We study $\mathcal{N}=2$ supersymmetric Sachdev-Ye-Kitaev (SYK) models with complex fermions at non-zero background charge. Through tracing back to EA/SK models, we disentangle the construction logic of SYK model.

The field theory side follows from the complex Sachdev-Ye-Kitaev model in the limit of large specific heat and vanishing compressibility. 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 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 .

"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. We study a simplified version of the Sachdev-Ye-Kitaev (SYK) model with real interactions by exact diagonalization. Explore the latest full-text research PDFs, articles, conference papers, preprints and more on SUPERCONDUCTIVITY. Here we construct fermionic all-to-all Floquet quantum circuits of random four-body gates designed to capture key features of SYK dynamics. 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. Title: Precise Low-Temperature Expansions for the Sachdev-Ye-Kitaev model Authors: Erick Arguello Cruz, Grigory Tarnopolsky.

Comments: 12 pages, 5 figures Subjects: High Energy Physics - Theory (hep-th); Statistical Mechanics (cond-mat.stat-mech); Strongly Correlated Electrons (cond-mat.str-el) The Sachdev-Ye-Kitaev quantum mechanics model, black holes, and random matricesDouglas StanfordMember, School of Natural SciencesOctober 26, 2016 The model consists of Majorana fermions with random interactions of a few fermions at a time. During the construction, we recall the technical e. . The periodic Anderson model is a classic theoretical model for understanding novel physics in heavy fermion systems. 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. The four-point function is . Download PDF. 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. Abstract: We describe numerous properties of the Sachdev-Ye-Kitaev model for complex fermions with flavors and a global U (1) charge.

Sachdev-Ye-Kitaev model & Schwarzian theory by Pranjal Nayak [basesd on 1901.xxxxx] with Julian Sonner and Manuel Vielma. (arXiv:2002.04313v2 [hep-th] UPDATED) Ming Chen, Yao-Zhong Zhang. The exactly solvable Sachdev-Ye-Kitaev (SYK) model has recently received considerable attention in both condensed matter and high energy physics because it describes quantum matter without quasiparticles, while being at the same time the holographic dual of a quantum black hole. The U.S. Department of Energy's Office of Scientific and Technical Information

In this paper, we examine the large-g asymptotic Weil-Petersson volume formulas deduced in the previous literature.

Abstract. Page All Pages Latest Revisions Discuss this page ContextSolid state physicsbasicsSlater determinantdegeneracy pressurecrystalcrystallographic groupBravais .

The Internet Archive offers over 20,000,000 freely downloadable books and texts. narrow band and strong e-e interactions may stabilize a non-Fermi-liquid phase in the universality class of the complex Sachdev-Ye-Kitaev (SYK) model.

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. An optical lattice is formed by the interference of counter-propagating laser beams, creating a spatially periodic polarization pattern. 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.

Previously, topologi-cal phases with interactions has been classi ed for both bosons and fermions [45, 46], for instance, by using eld theory approaches [47{51], or by utilizing mathematical FIG. The volume formulas have application to computing the partition functions and the. Sachdev-Ye-Kitaev Non-Fermi-Liquid Correlations in Nanoscopic Quantum Transport. There is also a collection of 2.3 million modern eBooks that may be borrowed by anyone with a free archive.org account. The same relation is obtained by a renormalization . We shall present numerical solutions of the Kadano -Baym

ical Sachdev-Ye-Kitaev model".

Affiliation (Current),,, Research FieldTransformative Research Areas, Section (II),Condensed matter physics II,Condensed matter physics I,Atomic/Molecular/Quantum electronics,Science and Engineering, Keywords,,,Sachdev-Ye-Kitaev,,,, . They are the nonrandom counterparts of the Sachdev-Ye-Kitaev (SYK .

Doping this model in the spirit of a t-J model, ref.

Achieving low-temperature states of the SYK model is interpreted as a realization of a stringy black .

Focusing on signatures in . 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. Sachdev-Ye-Kitaev model and thermalization on the boundary of many-body localized fermionic symmetry-protected topological states. We provide a general definition of the charge in the formalism, and compute its universal relation to the infrared asymmetry of the Green function.

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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 ). Journal of High Energy Physics, 2018(5).

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. 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. To this end we evaluate a set of local and non-local dynamic correlation functions in the long time limit.

for the Sachdev-Ye-Kitaev (SYK) models [10{12] with all-to-all and random interactions between qMajorana fermions on N sites. How come we observe thermal physics?

The Sachdev-Ye-Kitaev model is a $(0+1)$-dimensional model describing Majorana fermions or complex fermions with random interactions. from the Moscow Institute of Physics and Technology (1986), and a Ph.D. from . We investigate existence of replica off-diagonal solutions in the field-theoretical description of Sachdev-Ye-Kitaev model. [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 . We argue that the structure of the soft-mode Schwarzian action is qualitatively different in replica-diagonal vs . Our simulation results show that there exists a large number of aperiodic multilayer structures .

Here, we modify it with the Sachdev-Ye-Kitaev interaction, (random all-to-all interaction) thus the resultant model admits an exact solution at large-N (e.g. 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 Recently, Kitaev has found that the SYK model is maximally chaotic and has proposed it as a model of holography.

A quantum phase transition from a chaotic state to an integrable . 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 .

Here is a set of 2 lectures in which he briefly discusses it.

Look at the following papers for the details: Maldacena, Stanford "Comments on the Sachdev-Ye-Kitaev . Excitation spectra of quantum matter without quasiparticles I: Sachdev-Ye-Kitaev models 18 0 0.0 ( 0 ) Keywords frequently search together with Superconducting Fluctuation Narrow sentence examples with built-in keyword filters We develop analytic perturbation theory in the amplitude of the SYK_{2} perturbation and demonstrate stability of the SYK_{4} infrared asymptotic behavior characterized by a . Here we construct fermionic all-to-all Floquet quantum circuits of random four-body gates designed to capture key features of SYK dynamics. [2][3] The model is believed to bring insights into the understanding of strongly correlated materials and it also has a . The model becomes strongly interacting at . We study an array of strongly correlated quantum dots of complex SYK type and account for the effects of quadratic terms added to the SYK Hamiltonian; both local terms and inter-dot tunneling are considered in the non-Fermi-liquid temperature range TTFL. 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.

Physics and Astronomy (Twin Cities) . From high to low temperature, the model transitions from . Comments on the Sachdev-Ye-Kitaev model. 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 .

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. The SYK model consists of N 1 fermions in 0 + 1 dimensions with a random, all-to-all quartic interaction. 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.

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.

These models are solvable realizations of quan-tum matter without quasiparticles in equilibrium, and here we shall extend their study to non-equilibrium dynamics. Our circuits can be built using local ingredients in Majorana devices, namely, charging-mediated .

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.

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.

We study a quantum-mechanical model proposed by Sachdev, Ye and Kitaev. A schematic phase diagram showing the behavior of the Sachdev-Ye-Kitaev model for different regimes of temperature and system size. (2018). N. N Majorana fermions interacting with random interactions ( Kitaev 15 ). 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. [Sachdev-Ye '93; Kitaev '15] Solvable Limit of SYK 8

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. 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. Sachdev-Ye-Kitaev model. Instead of satisfying a continuous Gaussian distribution, the interaction strengths are assumed to be chosen from discrete values with a finite separation. Motivated by multi-charge . We study quantum mechanical models in which the dynamical degrees of freedom are real fermionic tensors of rank 5 and higher.

Remarks on Replica Method and Sachdev-Ye-Kitaev Model. 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 .

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 is an all-to-all interacting Majorana fermion model for many-body quantum chaos and the holographic correspondence. It was the initial motivation for Kitaev to study this model. To order 1/N, moments are given by those of the weight function of the Q-Hermite polynomials.Representing Wick contractions by rooted chord diagrams, we show that the 1/N 2 correction for . [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 . The quantum critical regime was found to retain the QSL correlations of the SY model and remarkably, to display bad metal behavior with T-linear resistivity despite a single-particle scattering rate behaving as T . Kitaev, A., & Suh, S. J. The SYK model is an exactly solvable model that is hoped to bring insights into the understanding of strongly correlated materials. We solve the SchwingerDyson equation and compute the spectrum of two-particle states in SYK, finding both a continuous and discrete tower. ical Sachdev-Ye-Kitaev model". This model is also solvable, and . We show that the maximal chaotic non-Fermi-liquid phase described by the ordinary q=4 SYK model has marginally relevant or . The Sachdev-Ye-Kitaev (SYK) model is an all-to-all interacting Majorana fermion model for many-body quantum chaos and the holographic correspondence.

The Sachdev-Ye-Kitaev (SYK) model is a concrete solvable model to study non-Fermi liquid properties, holographic duality, and maximally chaotic behavior. The Sachdev-Ye-Kitaev model was originally introduced in nuclear physics by French and Mon to describe the spectral properties of complex nuclei. The resulting periodic potential may trap neutral atoms via the Stark shift. 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. Kitaev was educated in Russia, receiving an M.Sc.

Alexander Altland, Dmitry Bagrets, Alex Kamenev. We analytically evaluate the moments of the spectral density of the q-body Sachdev-Ye-Kitaev (SYK) model, and obtain order 1/N 2 corrections for all moments, where N is the total number of Majorana fermions. The model is believed to bring insights into the understanding of strongly . We study a quantum mechanical model proposed by Sachdev, Ye and Kitaev. 1: Schematic of the topological Sachdev-Ye-Kitaev model.

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As a result, all zero temperature correlation functions decay with the universal exponent 3 / 2 for times larger than the inverse single particle level spacing N .