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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

Computing the non-equilibrium dynamics that follows a quantum quench is difficult, even in exactly solvable models. Results are often predicated on the ability to compute overlaps between the initial state and eigenstates of the Hamiltonian…

Statistical Mechanics · Physics 2021-12-11 Neil J. Robinson , Albertus J. J. M. de Klerk , Jean-Sébastien Caux

We present a numerical computation of overlaps in mass quenches in sine-Gordon quantum field theory using truncated conformal space approach (TCSA). To improve the cut-off dependence of the method, we use a novel running coupling definition…

Statistical Mechanics · Physics 2017-06-14 D. X. Horvath , G. Takacs

We develop a method to calculate generic time-dependent correlation functions for inhomogeneous quantum quenches in (1+1)-dimensional conformal field theory (CFT) induced by sudden Hamiltonian deformations that modulate the energy density…

Statistical Mechanics · Physics 2025-06-06 Xinyu Liu , Alexander McDonald , Tokiro Numasawa , Biao Lian , Shinsei Ryu

It was recently conjectured and verified for the transverse-field Ising model [Phys. Rev. B 113, 165102 (2026)] that, after a sudden quench within the same equilibrium phase, the initial ground state has its largest overlap with the final…

Statistical Mechanics · Physics 2026-05-20 Taisanul Haque

Phys. Rev. B 113, 165102 (2026) proposed the conjecture that, for quantum quenches within the same phase, the overlap between the initial ground state and postquench eigenstates is maximal for the postquench ground state. We show that this…

Statistical Mechanics · Physics 2026-04-22 Jie Gu

The study of quantum quenches in integrable systems has significantly advanced with the introduction of the Quench Action method, a versatile analytical approach to non-equilibrium dynamics. However, its application is limited to those…

Statistical Mechanics · Physics 2016-08-24 Lorenzo Piroli , Eric Vernier , Pasquale Calabrese

We use the Quench Action approach to study the non-equilibrium dynamics after a quantum quench in the Hubbard model in the limit of infinite interaction. We identify a variety of low-entangled initial states for which we can directly…

Statistical Mechanics · Physics 2017-11-03 Bruno Bertini , Elena Tartaglia , Pasquale Calabrese

In contrast to lattice systems where powerful numerical techniques such as matrix product state based methods are available to study the non-equilibrium dynamics, the non-equilibrium behaviour of continuum systems is much harder to…

Statistical Mechanics · Physics 2019-03-20 Tibor Rakovszky , Márton Mestyán , Mario Collura , Márton Kormos , Gábor Takács

We extend the semiclassical picture for the spreading of entanglement and correlations to quantum quenches with several species of quasiparticles that have non-trivial pair correlations in momentum space. These pair correlations are, for…

Statistical Mechanics · Physics 2018-10-17 Alvise Bastianello , Pasquale Calabrese

We extend the branch point twist field approach for the calculation of entanglement entropies to time-dependent problems in 1+1-dimensional massive quantum field theories. We focus on the simplest example: a mass quench in the Ising field…

High Energy Physics - Theory · Physics 2019-12-24 Olalla A. Castro-Alvaredo , Máté Lencsés , István M. Szécsényi , Jacopo Viti

Determining the role of initial conditions in the late time evolution is a key issue for the theory of nonequilibrium dynamics of isolated quantum systems. Here we extend the theory of quantum quenches to the case in which before the quench…

Statistical Mechanics · Physics 2023-09-13 Gesualdo Delfino , Marianna Sorba

We consider a quantum quench from the strongly correlated ground state of the Kondo model to a Fermi sea. We calculate the overlap between the ground states before and after the quench, as well as the Loschmidt echo, that is, the transition…

Strongly Correlated Electrons · Physics 2019-02-27 C. D. Pelwan , I. Snyman

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 study in general the time-evolution of correlation functions in a extended quantum system after the quench of a parameter in the hamiltonian. We show that correlation functions in d dimensions can be extracted using methods of boundary…

Statistical Mechanics · Physics 2011-02-16 Pasquale Calabrese , John Cardy

We use tensor network simulations to calculate the time evolution of the lower part of the entanglement spectrum and return rate functions after global quantum quenches in the Ising model. We consider ground state quenches towards mesonic…

High Energy Physics - Theory · Physics 2023-03-20 Johannes Knaute

Quantum simulators have the potential to shed light on the study of quantum many-body systems and materials, offering unique insights into various quantum phenomena. While adiabatic evolution has been conventionally employed for state…

Quantum Physics · Physics 2024-04-05 Simon Bernier , Kartiek Agarwal

We consider the time evolution of the gaps of the entanglement spectrum for a block of consecutive sites in finite transverse field Ising chains after sudden quenches of the magnetic field. We provide numerical evidence that, whenever we…

Statistical Mechanics · Physics 2020-07-01 Jacopo Surace , Luca Tagliacozzo , Erik Tonni

We demonstrate that perturbative expansions for quantum many-body systems can be rephrased in terms of tensor networks, thereby providing a natural framework for interpolating perturbative expansions across a quantum phase transition. This…

Strongly Correlated Electrons · Physics 2017-09-06 Laurens Vanderstraeten , Michaël Mariën , Jutho Haegeman , Norbert Schuch , Julien Vidal , Frank Verstraete

This paper describes perturbative framework, on the basis of closed-time-path formalism, for studying quasiuniform relativistic quantum field systems near equilibrium and nonequilibrium quasistationary systems. At the first part, starting…

High Energy Physics - Theory · Physics 2007-05-23 A. Niégawa
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