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Based on the obtained exact results we systematically study the quench dynamics of a one-dimensional spin-1/2 transverse field Ising model with zero- and finite-temperature initial states. We focus on the magnetization of the system after a…

Statistical Mechanics · Physics 2009-08-11 Ying Li , M. X. Huo , Z. Song

We consider the unitary time evolution of a one-dimensional quantum system which is in a stationary state for negative times and then undergoes a sudden change (quench) of a parameter of its Hamiltonian at t=0. For systems possessing a…

Statistical Mechanics · Physics 2014-10-09 Gesualdo Delfino

We consider quantum quenches to the sinh-Gordon integrable quantum field theory from a particular class of initial states. Our analysis includes the case of mass and interaction quenches starting from a non-interacting theory. By means of…

Statistical Mechanics · Physics 2016-06-06 Bruno Bertini , Lorenzo Piroli , Pasquale Calabrese

In supersymmetric models with scalar sequestering, superconformal strong dynamics in the hidden sector suppresses the low-energy couplings of mass dimension two, compared to the squares of the dimension one parameters. Taking into account…

High Energy Physics - Phenomenology · Physics 2018-02-14 Stephen P. Martin

We investigate a quantum quench from a critical to an exceptional point. The initial state, prepared in the ground state of a critical hermitian system, is time evolved with a non-hermitian SSH model, tuned to its exceptional point. The…

Strongly Correlated Electrons · Physics 2021-02-26 Ádám Bácsi , Balázs Dóra

Quantum quenches display universal scaling in several regimes. For quenches which start from a gapped phase and cross a critical point, with a rate slow compared to the initial gap, many systems obey Kibble-Zurek scaling. More recently, a…

High Energy Physics - Theory · Physics 2017-06-14 Sumit R. Das , Damian A. Galante , Robert C. Myers

When a parameter quench is performed in an isolated quantum system with a complete set of constants of motion, its out of equilibrium dynamics is considered to be well captured by the Generalized Gibbs Ensemble (GGE), characterized by a set…

Mesoscale and Nanoscale Physics · Physics 2021-02-23 Lorenzo Rossi , Fabrizio Dolcini , Fabio Cavaliere , Niccolò Traverso Ziani , Maura Sassetti , Fausto Rossi

We consider the finite-time quench dynamics in the quantum transverse field Ising model which exhibits a second order phase transition from a paramagnetic to a ferromagnetic phase, as the transverse magnetic field is decreased. These…

Statistical Mechanics · Physics 2025-04-08 Lakshita Jindal , Kavita Jain

In this paper, we develop the groundwork for a graph theoretic toy model of supersymmetric quantum mechanics. Using discrete Witten-Morse theory, we demonstrate that finite graphs have a natural supersymmetric structure and use this…

Mathematical Physics · Physics 2025-07-15 Bek Herz , Ivan Contreras

We review the recent progress in the understanding of the relaxation of isolated near-integrable quantum many-body systems. Focusing on prethermalization and universal dynamics following a quench, we describe the experiments with ultracold…

Quantum Gases · Physics 2016-07-05 Tim Langen , Thomas Gasenzer , Jörg Schmiedmayer

We examine the problem of supersymmetry breaking in realistic superstring standard--like models which are constructed in the free fermionic formulation. We impose a supersymmetric vacuum at the Planck scale by requiring vanishing F and D…

High Energy Physics - Phenomenology · Physics 2011-07-19 Alon E. Faraggi , Edi Halyo

We numerically simulate the time evolution of the Ising field theory after quenches starting from the $E_8$ integrable model using the Truncated Conformal Space Approach. The results are compared with two different analytic predictions…

Statistical Mechanics · Physics 2018-09-26 Kristóf Hódsági , Márton Kormos , Gábor Takács

The generalized Gibbs ensemble has been shown to be relevant in the relaxation of a completely integrable system subject to a quantum quench, in the sense that it accurately predicts the steady values of some physical variables. We proceed…

Statistical Mechanics · Physics 2012-04-30 J. M. Zhang , F. C. Cui , Jiangping Hu

We study (non-renormalizable) five dimensional supersymmetric field theories. The theories are parametrized by quark masses and a gauge coupling. We derive the metric on the Coulomb branch exactly. We use stringy considerations to learn…

High Energy Physics - Theory · Physics 2009-09-15 Nathan Seiberg

Different ways to incorporate two-dimensional systems, which are not amenable to separation of variables, into the framework of Supersymmetrical Quantum Mechanics (SUSY QM) are analyzed. In particular, the direct generalization of…

High Energy Physics - Theory · Physics 2008-11-26 M. V. Ioffe

A new exactly solvable spatially one-dimensional quantum superradiance model describing a charged fermionic medium interacting with an external electromagnetic field is proposed. The infinite hierarchy of quantum conservation laws and…

Statistical Mechanics · Physics 2013-07-16 D. Blackmore , A. Prykarpatsky

We apply a new anticommuting path integral technique to clarify the fermionic structure of the 2D Ising model with quenched site dilution. In the $N$-replica scheme, the model is explicitly reformulated as a theory of interacting fermions…

Disordered Systems and Neural Networks · Physics 2009-10-30 V. N. Plechko

Quenching a quantum system involves three basic ingredients: the initial phase, the post-quench target phase, and the non-equilibrium dynamics which carries the information of the former two. Here we propose a dynamical theory to…

Quantum Gases · Physics 2021-06-22 Long Zhang , Lin Zhang , Ying Hu , Sen Niu , Xiong-Jun Liu

We study the quantum dynamics of a one-dimensional spin-1/2 anisotropic XY model in a transverse field when the transverse field or the anisotropic interaction is quenched at a slow but uniform rate. The two quenching schemes are called…

Statistical Mechanics · Physics 2009-01-19 Victor Mukherjee , Uma Divakaran , Amit Dutta , Diptiman Sen

The time evolution of the entanglement entropy is a key concept to understand the structure of a non-equilibrium quantum state. In a large class of models, such evolution can be understood in terms of a semiclassical picture of moving…

Statistical Mechanics · Physics 2021-01-13 Gilles Parez , Riccarda Bonsignori , Pasquale Calabrese