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We show, using the quench action approach [Caux&Essler Phys. Rev. Lett. 110 (2013)], that the whole post-quench time evolution of an integrable system in the thermodynamic limit can be computed with a minimal set of data which are encoded…

量子气体 · 物理学 2015-10-23 Jacopo De Nardis , Lorenzo Piroli , Jean-Sébastien Caux

We describe a formulation for studying the quench dynamics of integrable systems generalizing an approach by Yudson. We study the evolution of the Lieb-Liniger model, a gas of interacting bosons moving on the continuous infinite line and…

量子气体 · 物理学 2014-11-04 Deepak Iyer , Huijie Guan , Natan Andrei

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…

统计力学 · 物理学 2017-11-03 Bruno Bertini , Elena Tartaglia , Pasquale Calabrese

We consider the non-equilibrium dynamics of the interacting Lieb-Liniger gas after instantaneously switching the interactions off. The subsequent time evolution of the space- and time-dependent correlation functions is computed exactly.…

统计力学 · 物理学 2015-03-13 Jorn Mossel , Jean-Sébastien Caux

We investigate the time evolution towards the asymptotic steady state of a one dimensional interacting system after a quantum quench. We show that at finite time the latter induces entanglement between right- and left- moving density…

强关联电子 · 物理学 2017-08-18 Alessio Calzona , Filippo Maria Gambetta , Fabio Cavaliere , Matteo Carrega , Maura Sassetti

We study the non-equilibrium dynamics of the Luttinger model after suddenly turning on and off the bare Coulomb interaction between the fermions. We analyze several correlation functions such as the one particle density matrix and vertex…

强关联电子 · 物理学 2015-06-12 N. Nessi , A. Iucci

These notes cover in some detail lectures I gave at the Les Houches Summer School 2012. I describe here work done with Deepak Iyer with important contributions from Hujie Guan. I discuss some aspects of the physics revealed by quantum…

量子气体 · 物理学 2016-06-30 Natan Andrei

Using a Luttinger liquid theory we investigate the time evolution of the particle density of a one-dimensional fermionic system with open boundaries and subject to a finite duration quench of the inter-particle interaction. We provide…

强关联电子 · 物理学 2016-08-16 S. Porta , F. M. Gambetta , F. Cavaliere , N. Traverso Ziani , M. Sassetti

We investigate the relaxation dynamics of the integrable Lieb-Liniger model of contact-interacting bosons in one dimension following a sudden quench of the collisional interaction strength. The system is initially prepared in its…

量子气体 · 物理学 2015-02-17 Jan C. Zill , Tod M. Wright , Karen V. Kheruntsyan , Thomas Gasenzer , Matthew J. Davis

We apply the linked cluster expansion as well as the quench action approach to study the time evolution of one-point functions after a quantum quench in integrable field theories. We argue that the relaxation towards the stationary value…

强关联电子 · 物理学 2025-04-01 Emanuele Di Salvo , Dirk Schuricht

We apply the logic of the quench action to give an exact analytical expression for the time evolution of the one-body density matrix after an interaction quench in the Lieb-Liniger model from the ground state of the free theory (BEC state)…

量子气体 · 物理学 2015-06-19 Jacopo De Nardis , Jean-Sébastien Caux

Determining the dynamics of interacting integrable many-particle quantum systems at finite times after homogeneous quantum quenches is a long-standing challenge. We present a Monte Carlo sampling scheme that numerically evaluates the…

统计力学 · 物理学 2026-05-20 Riccardo Senese , Fabian H. L. Essler

We analyze the dynamics of a Luttinger model following a quench in the electron-electron interaction strength, where the change in the interaction strength occurs over a finite time scale $\tau$. We study the Loschmidt echo (the overlap…

介观与纳米尺度物理 · 物理学 2014-08-27 Rashi Sachdeva , Tanay Nag , Amit Agarwal , Amit Dutta

We study the real time evolution of the correlation functions in a globally quenched interacting one dimensional lattice system by means of time adaptive density matrix renormalization group. We find a clear light-cone behavior quenching…

统计力学 · 物理学 2017-08-16 L. Barbiero , L. Dell'Anna

We investigate the non-equilibrium dynamics of the one-dimensional extended Hubbard model after interaction quenches. In strong-coupling regime with large on-site interaction, the ground states of this model with small and large…

强关联电子 · 物理学 2023-03-30 Yong-Guang Su , Ruifeng Lu , Hantao Lu , Can Shao

The dynamics of the Luttinger model after a quantum quench is studied. We compute in detail one and two-point correlation functions for two types of quenches: from a non-interacting to an interacting Luttinger model and vice-versa. In the…

量子气体 · 物理学 2010-03-29 A. Iucci , M. A. Cazalilla

We discuss a general interaction quench in a Luttinger liquid described by a paired bosonic Hamiltonian. By employing $\mathsf{su}(1,1)$ Lie algebra, the post-quench time-evolved wavefunctions are obtained analytically, from which the time…

统计力学 · 物理学 2021-12-14 You-Ming Wei , Hantao Lu

We investigate dynamics arising after an interaction quench in the quantum sine-Gordon model for a one-dimensional system initially prepared in a spatially inhomogeneous domain wall state. We study the time-evolution of the density, current…

强关联电子 · 物理学 2015-05-20 Jarrett Lancaster , Emanuel Gull , Aditi Mitra

We study a quench protocol where the ground state of a free many-particle bosonic theory in one dimension is let unitarily evolve in time under the integrable Lieb-Liniger Hamiltonian of $\delta$-interacting repulsive bosons. By using a…

统计力学 · 物理学 2014-03-27 Jacopo De Nardis , Bram Wouters , Michael Brockmann , Jean-Sébastien Caux

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…

统计力学 · 物理学 2021-12-11 Neil J. Robinson , Albertus J. J. M. de Klerk , Jean-Sébastien Caux
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