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Related papers: Scrambling in the Dicke model

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Scrambling is the delocalization of quantum information over a many-body system and underlies all quantum-chaotic dynamics. We employ discrete quantum cellular automata as classically simulable toy models of scrambling. We observe that…

Quantum Physics · Physics 2023-05-01 Brian Kent , Sarah Racz , Sanjit Shashi

We derive exact results for the Lindblad equation for a quantum spin chain (one-dimensional quantum compass model) with dephasing noise. The system possesses doubly degenerate nonequilibrium steady states due to the presence of a conserved…

Statistical Mechanics · Physics 2023-04-18 Naoyuki Shibata , Hosho Katsura

We study the finite-temperature scrambling behavior of a quantum system described by a Hamiltonian chosen from a random matrix ensemble. This effectively (0+1)-dimensional model admits an exact calculation of various ensemble-averaged…

Strongly Correlated Electrons · Physics 2018-03-23 Sagar Vijay , Ashvin Vishwanath

We study the dynamics of excitations in a system of $O(N)$ quantum rotors in the presence of random fields and random anisotropies. Below the lower critical dimension $d_{\mathrm{lc}}=4$ the system exhibits a quasi-long-range order with a…

Disordered Systems and Neural Networks · Physics 2014-07-31 Alexei Andreanov , Andrei A. Fedorenko

We study chaos and scrambling in unitary channels by considering their entanglement properties as states. Using out-of-time-order correlation functions to diagnose chaos, we characterize the ability of a channel to process quantum…

High Energy Physics - Theory · Physics 2016-03-23 Pavan Hosur , Xiao-Liang Qi , Daniel A. Roberts , Beni Yoshida

A measure describing the chaos of a dynamics was introduced by two complexities in information dynamics, and it is called the chaos degree. In particular, the entropic chaos degree has been used to characterized several dynamical maps such…

Quantum Physics · Physics 2007-05-23 Kei Inoue , Andrzej Kossakowski , Masanori Ohya

We analyze the quantum chaotic behavior of the Yukawa-SYK model as a function of filling and temperature, which describes random Yukawa interactions between $N$ complex fermions and $M$ bosons in zero spatial dimensions, for both the…

Strongly Correlated Electrons · Physics 2023-05-25 Andrew Davis , Yuxuan Wang

In this paper, we study the chaotic behavior of the unitary Fermi gas in both high and low temperature limits by calculating the Quantum Lyapunov exponent defined in terms of the out-of-time-order correlator. We take the method of…

Quantum Gases · Physics 2019-09-04 Pengfei Zhang

We describe a mechanism for order fractionalization in a two-dimensional Kondo lattice model, in which electrons interact with a gapless spin liquid of Majorana fermions described by the Yao-Lee (YL) model. When the Kondo coupling to the…

Strongly Correlated Electrons · Physics 2022-10-11 Alexei M. Tsvelik , Piers Coleman

The Dicke model is a staple of theoretical cavity Quantum Electrodynamics (cavity QED), describing the interaction between an ensemble of atoms and a single radiation mode of an optical cavity. It has been studied both quantum mechanically…

Quantum Physics · Physics 2024-06-21 Ofri Adiv , Scott Parkins

Critical slowing down of the relaxation of the order parameter is relevant both in early the universe and in ultrarelativistic heavy ion collisions. We study the relaxation rate of the order parameter in an O(N) scalar theory near the…

High Energy Physics - Phenomenology · Physics 2009-10-31 D. Boyanovsky , H. J. de Vega , M. Simionato

We consider an infinite-range interacting quantum spin-1/2 model, undergoing periodic kicking and dissipatively coupled with an environment. In the thermodynamic limit, it is described by classical mean-field equations that can show regular…

Quantum Physics · Physics 2025-04-29 Gianluca Passarelli , Procolo Lucignano , Davide Rossini , Angelo Russomanno

Temporal evolutions toward thermal equilibria are numerically investigated in a Hamiltonian system with many degrees of freedom which has second order phase transition. Relaxation processes are studied through local order parameter, and…

chao-dyn · Physics 2009-10-28 Yoshiyuki Y. Yamaguchi

We explore the connections between dissipative quantum phase transitions and non-Hermitian random matrix theory. For this, we work in the framework of the dissipative Dicke model which is archetypal of symmetry-breaking phase transitions in…

Quantum Physics · Physics 2022-05-25 Mahaveer Prasad , Hari Kumar Yadalam , Camille Aron , Manas Kulkarni

We present the full analysis of the normal state of the spin-fermion model near the antiferromagnetic instability in two dimensions. This model describes low-energy fermions interacting with their own collective spin fluctuations, which…

Superconductivity · Physics 2007-05-23 Ar. Abanov , Andrey V. Chubukov , J. Schmalian

Previous experimental realizations of Dicke model in atomic or ionic systems are based on global observables assuming uniform spin-boson coupling, while inevitable experimental nonuniformity on the one hand requires site-resolved…

We study the steady-state behavior of the open Dicke model, which describes the collective interaction of $N$ spin-$1/2$ particles with a lossy, quantized cavity mode and exhibits a superradiant phase transition above a critical…

Quantum Physics · Physics 2025-10-31 Wenqi Tong , H. Alaeian , F. Robicheaux

We investigate the dynamics of quantum scrambling, characterized by the out-of-time ordered correlators (OTOCs), in a non-Hermitian quantum kicked rotor subjected to quasi-periodical modulation in kicking potential. Quasi-periodic…

Quantum Physics · Physics 2024-01-23 Liang Huo , Han Ke , Wen-Lei Zhao

One-band Hubbard model with hopping parameter $t$ and Coulomb repulsion $U$ is considered at half filling. By means of the Schwinger bosons and slave Fermions representation of the electron operators and integrating out the spin-singlet…

Strongly Correlated Electrons · Physics 2015-06-04 Naoum Karchev

Quantum many-body systems driven far from equilibrium can exhibit chaos, entanglement, and non-classical correlations, yet directly observing these phenomena in large, closed quantum systems remains challenging. Here we realize the Dicke…

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