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We propose a scheme in which the Lipkin-Meshkov-Glick model is realized within a circuit QED system. An array of N superconducting qubits interacts with a driven cavity mode. In the dispersive regime, the cavity mode is adiabatically…

Quantum Physics · Physics 2010-06-18 Jonas Larson

The SYK model: fermions with a $q$-body, Gaussian-random, all-to-all interaction, is the first of a fascinating new class of solvable large $N$ models. We generalize SYK to include $f$ flavors of fermions, each occupying $N_a$ sites and…

High Energy Physics - Theory · Physics 2017-03-16 David J. Gross , Vladimir Rosenhaus

Kitaev model has both Abelian and non-Abelian anyonic excitations. It can act as a starting point for topological quantum computation. However, this model Hamiltonian is difficult to implement in natural condensed matter systems. Here we…

Quantum Physics · Physics 2012-09-10 Ze-Liang Xiang , Ting Yu , Wenxian Zhang , Xuedong Hu , J. Q. You

A quantum advantage can be achieved in the unitary charging of quantum batteries if their cells are interacting. Here, we try to clarify with some analytical calculations whether and how this quantum advantage is achieved for sparse…

Quantum Physics · Physics 2024-12-24 Gianluca Francica

We study a class of many body chaotic models related to the Brownian Sachdev-Ye-Kitaev model. An emergent symmetry maps the quantum dynamics into a classical stochastic process. Thus we are able to study many dynamical properties at finite…

Quantum Physics · Physics 2024-08-22 Shunyu Yao

According to holography, entanglement is the building block of spacetime; therefore, drastic changes of entanglement will lead to interesting transitions in the dual spacetime. In this paper, we study the effect of projective measurements…

High Energy Physics - Theory · Physics 2023-03-01 Stefano Antonini , Brianna Grado-White , Shao-Kai Jian , Brian Swingle

We propose a method to implement cavity QED and quantum information processing in high-Q cavities with a single trapped but non-localized atom. The system is beyond the Lamb-Dick limit due to the atomic thermal motion. Our method is based…

Quantum Physics · Physics 2009-11-07 L. -M. Duan , A. Kuzmich , H. J. Kimble

We study a putative (strange) metal-to-insulator transition in a granular array of the Sachdev-Ye-Kitaev (SYK) quantum dots, each occupied by a large number N>>1 of charge-carrying fermions. Extending the previous studies we complement the…

Strongly Correlated Electrons · Physics 2020-06-03 D. V. Khveshchenko

Sachdev-Ye-Kitaev (SYK) model, which describes $N$ randomly interacting Majorana fermions in 0+1 dimension, is found to be an solvable UV-complete toy model for holographic duality in nearly AdS$_2$ dilaton gravity. Ref. [1] proposed a…

High Energy Physics - Theory · Physics 2020-06-24 Xiao-Liang Qi , Pengfei Zhang

We study the Lindbladian dynamics of the Sachdev-Ye-Kitaev (SYK) model, where the SYK model is coupled to Markovian reservoirs with jump operators that are either linear or quadratic in the Majorana fermion operators. Here, the linear jump…

Statistical Mechanics · Physics 2022-12-16 Anish Kulkarni , Tokiro Numasawa , Shinsei Ryu

The Sachdev-Ye-Kitaev (SYK) model, a theory of N Majorana fermions with q-body interactions, becomes in the large q limit a conformally-broken Liouville field theory. Taking this limit preserves many interesting properties of the model, yet…

High Energy Physics - Theory · Physics 2020-03-18 Alexandre Streicher

We compute the thermodynamic properties of the Sachdev-Ye-Kitaev (SYK) models of fermions with a conserved fermion number, $\mathcal{Q}$. We extend a previously proposed Schwarzian effective action to include a phase field, and this…

Strongly Correlated Electrons · Physics 2017-04-26 Richard A. Davison , Wenbo Fu , Antoine Georges , Yingfei Gu , Kristan Jensen , Subir Sachdev

We present detailed numerical simulations of semiclassical and quantum spectra of a cavity quantum electrodynamics system consisting of a single three-level atom in $\Lambda$-configuration with one of its transitions strongly interacting…

Quantum Physics · Physics 2022-02-17 M. O. Musa , H. Temimi , Y. Zhu

Nonperturbative formulation of the Sachdev-Ye-Kitaev (SYK) model is discussed. The partition function of the model can be represented as a functional integral over the Grassmann variables in Euclidean time which is well defined but it…

High Energy Physics - Theory · Physics 2018-12-26 Irina Aref'eva , Igor Volovich

We describe the non-equilibrium dynamics of the Sachdev-Ye-Kitaev models of fermions with all-to-all interactions. These provide tractable models of the dynamics of quantum systems without quasiparticle excitations. The Kadanoff-Baym…

Strongly Correlated Electrons · Physics 2017-11-22 Andreas Eberlein , Valentin Kasper , Subir Sachdev , Julia Steinberg

Cavity quantum electrodynamics (QED) uses a cavity to engineer the mode structure of the vacuum electromagnetic field such as to enhance the interaction between light and matter. Exploiting these ideas in solid-state systems has lead to…

Protecting coherent quantum dynamics from chaotic environment is key to realizations of fragile many-body phenomena and their applications in quantum technology. We present a general construction that embeds a desired periodic orbit into a…

Quantum Physics · Physics 2023-09-27 Andrew Hallam , Jean-Yves Desaules , Zlatko Papić

Non-equilibrium dynamics of unentangled and entangled pure states in interacting quantum systems is crucial for harnessing quantum information and to understand quantum thermalization. We develop a general Schwinger-Keldysh (SK) field…

Strongly Correlated Electrons · Physics 2025-11-04 Rishik Perugu , Arijit Haldar , Sumilan Banerjee

Cavity quantum electrodynamic schemes for quantum gates are amongst the earliest quantum computing proposals. Despite continued progress, and the dramatic recent demonstration of photon blockade, there are still issues with optimal coupling…

Quantum Physics · Physics 2009-11-13 Chun-Hsu Su , Andrew D. Greentree , William J. Munro , Kae Nemoto , Lloyd C. L. Hollenberg

We construct Brownian Sachdev-Ye-Kitaev (SYK) chains subjected to continuous monitoring and explore possible entanglement phase transitions therein. We analytically derive the effective action in the large-$N$ limit and show that an…

Strongly Correlated Electrons · Physics 2021-09-30 Shao-Kai Jian , Chunxiao Liu , Xiao Chen , Brian Swingle , Pengfei Zhang