English
Related papers

Related papers: Dynamical Phase Diagram of a Quantum Ising Chain w…

200 papers

As a model of decohering environment, we show that quantum chaotic system behave equivalently as many-body system. An approximate formula for the time evolution of the reduced density matrix of a system interacting with a quantum chaotic…

Quantum Physics · Physics 2009-04-24 Jayendra N. Bandyopadhyay

We study the real-time dynamics of multi-party entanglement signals in chaotic quantum many-body systems including but not necessarily restricted to holographic conformal field theories. We find that scrambling dynamics generates multiparty…

High Energy Physics - Theory · Physics 2026-01-19 Vijay Balasubramanian , Hanzhi Jiang , Simon F. Ross

We study quenching dynamics of a one-dimensional transverse Ising chain with nearest neighbor antiferromagentic interactions in the presence of a longitudinal field which renders the model non-integrable. The dynamics of the spin chain is…

Statistical Mechanics · Physics 2015-10-07 Shraddha Sharma , Sei Suzuki , Amit Dutta

We study the nonequilibrium dynamics of a many-body bosonic system on a lattice, subject to driving and dissipation. The time-evolution is described by a master equation, which we treat within a generalized Gutzwiller mean field…

Quantum Gases · Physics 2013-05-29 Andrea Tomadin , Sebastian Diehl , Peter Zoller

Randomly coupled Ising spins constitute the classical model of collective phenomena in disordered systems, with applications covering ferromagnetism, combinatorial optimization, protein folding, stock market dynamics, and social dynamics.…

Disordered Systems and Neural Networks · Physics 2016-08-24 David Dahmen , Hannah Bos , Moritz Helias

We study numerically and analytically the quench dynamics of isolated many-body quantum systems. Using full random matrices from the Gaussian orthogonal ensemble, we obtain analytical expressions for the evolution of the survival…

Statistical Mechanics · Physics 2018-03-07 E. J. Torres-Herrera , Antonio M. García-García , Lea F. Santos

In the first part, we investigate the effect of long range particle exchange in ideal bosonic chains. We establish that by using the Heisenberg formalism along with matrix product state representation we can study the evolution as well as…

Quantum Physics · Physics 2010-02-23 Jose Reslen

We introduce a connection between entanglement induced by interaction and geometric phases acquired by a composite quantum spin system. We begin by analyzing the evaluation of cyclic (Aharonov-Anandan) and non-cyclic (Mukunda-Simon)…

Quantum Physics · Physics 2011-05-03 C. S. Castro , M. S. Sarandy

Whether long-range interactions allow for a form of causality in non-relativistic quantum models remains an open question with far-reaching implications for the propagation of information and thermalization processes. Here, we study the…

Quantum Physics · Physics 2022-03-31 J. T. Schneider , J. Despres , S. J. Thomson , L. Tagliacozzo , L. Sanchez-Palencia

Based on large-scale density matrix renormalization group techniques, we investigate the critical behaviors of quantum three-state Potts chains with long-range interactions. Using fidelity susceptibility as an indicator, we obtain a…

Strongly Correlated Electrons · Physics 2023-05-31 Xue-Jia Yu , Chengxiang Ding , Limei Xu

We define auto- and cross-correlation functions capable to capture dynamical characteristics induced by local phase space structures in a general dynamical system. These correlation functions are calculated in the Standard Map for a range…

Chaotic Dynamics · Physics 2015-04-21 Georgios Datseris , Fotis K. Diakonos , Peter Schmelcher

We study the Ising spin chain with a Dzyaloshinskii-Moriya interaction focusing on the static and dynamic properties of the entanglement entropy, following a quantum quench. We show that the effects of the additional anisotropic interaction…

Statistical Mechanics · Physics 2011-12-16 Anirban Das , Silvano Garnerone , Stephan Haas

Quantum systems whose classical counterparts are chaotic typically have highly correlated eigenvalues and level statistics that coincide with those from ensembles of full random matrices. A dynamical manifestation of these correlations…

The emergence of random matrix spectral correlations in interacting quantum systems is a defining feature of quantum chaos. We study such correlations in terms of the spectral form factor in interacting chaotic few- and many-body systems,…

Quantum Physics · Physics 2023-06-14 Felix Fritzsch , Maximilian F. I. Kieler

Dissipation is inevitable in realistic quantum circuits. We examine the effects of dissipation on a class of monitored random circuits that exhibit a measurement-induced entanglement phase transition. This transition has previously been…

Statistical Mechanics · Physics 2023-10-13 Yue Li , Martin Claassen

We study the phase diagram of an elastic interaction model for spin crossover (SC) materials with antiferromagnetic-like short-range interactions. In this model, the interplay between the short-range interaction and the long-range…

Statistical Mechanics · Physics 2017-11-03 Masamichi Nishino , Seiji Miyashita , Per Arne Rikvold

We show that long-range ferromagnetic interactions in quantum spin chains can induce spatial quasi-localization of topological magnetic defects, i.e., domain-walls, even in the absence of quenched disorder. By means of matrix-product-states…

Quantum Gases · Physics 2019-04-03 Alessio Lerose , Bojan Zunkovic , Alessandro Silva , Andrea Gambassi

Continuous-time systems with switch-like behaviour occur in chemical kinetics, gene regulatory networks and neural networks. Networks with hard switching, as a limiting case of smooth sigmoidal switching, retain the richest possible range…

Dynamical Systems · Mathematics 2019-05-10 Roderick Edwards

Open quantum systems provide a conceptually simple setting for the exploration of collective behavior stemming from the competition between quantum effects, many-body interactions, and dissipative processes. They may display dynamics…

Statistical Mechanics · Physics 2023-04-14 Dominik Sulz , Christian Lubich , Gianluca Ceruti , Igor Lesanovsky , Federico Carollo

We study an Ising model in one dimension with short range ferromagnetic and long range (power law) antiferromagnetic interactions. We show that the zero temperature phase diagram in a (longitudinal) field H involves a sequence of up and…

Statistical Mechanics · Physics 2012-08-16 Erik Nielsen , R. N. Bhatt , David A. Huse