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In this work we investigate the equilibration dynamics after a sudden Hamiltonian quench of a quantum spin system initially prepared in a thermal state. To characterize the equilibration we evaluate the Loschmidt echo, a global measure for…

Quantum Physics · Physics 2011-09-13 N. Tobias Jacobson , Lorenzo Campos Venuti , Paolo Zanardi

A general framework is proposed to tackle analytically local quantum quenches in integrable impurity systems, combining a mapping onto a boundary problem with the form factor approach to boundary-condition-changing operators introduced in…

Strongly Correlated Electrons · Physics 2013-06-17 Romain Vasseur , Kien Trinh , Stephan Haas , Hubert Saleur

We study the real-time dynamics of the Kondo effect after a quantum quench in which a magnetic impurity is coupled to two metallic Hubbard chains. Using an effective field theory approach, we find that for noninteracting electrons the…

Strongly Correlated Electrons · Physics 2023-02-08 Moallison F. Cavalcante , Rodrigo G. Pereira , Maria C. O. Aguiar

We study a quantum phase transition which occurs in a system composed of two impurities (or quantum dots) each coupled to a different interacting (Luttinger-liquid) lead. While the impurities are coupled electrostatically, there is no…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 Moshe Goldstein , Yuval Gefen , Richard Berkovits

The emerging field of quantum thermodynamics is contributing important results and insights into archetypal many-body problems, including quantum phase transitions. Still, the question whether out-of-equilibrium quantities, such as…

The coherent quantum evolution of a one-dimensional many-particle system after sweeping the Hamiltonian through a critical point is studied using a generalized quantum Ising model containing both integrable and non-integrable regimes. It is…

Strongly Correlated Electrons · Physics 2015-05-13 Frank Pollmann , Subroto Mukerjee , Andrew G. Green , Joel E. Moore

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…

Mesoscale and Nanoscale Physics · Physics 2014-08-27 Rashi Sachdeva , Tanay Nag , Amit Agarwal , Amit Dutta

We consider the dynamics of an impurity atom immersed in an ideal Fermi gas at zero temperature. We focus on the coherent quantum evolution of the impurity following a quench to strong impurity-fermion interactions, where the interactions…

Quantum Gases · Physics 2019-11-25 Meera Parish , Jesper Levinsen

We show that the dynamics of a quantum impurity subject to a stochastic drive on one side and coupled to a quantum critical system on the other display a universal behavior inherited from the quantum critical scaling. Using boundary…

Strongly Correlated Electrons · Physics 2019-12-04 William Berdanier , Jamir Marino , Ehud Altman

We establish a new non-equilibrium scaling regime in the short time evolution of one-dimensional interacting open quantum systems subject to a generic heating mechanism. This dynamical regime is characterized by uncompensated phonon…

Quantum Gases · Physics 2018-09-13 Michael Buchhold , Sebastian Diehl

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…

Quantum Gases · Physics 2010-03-29 A. Iucci , M. A. Cazalilla

We study the time dependence of the entanglement between two quantum wires after suddenly connecting them via tunneling through an impurity. The result at large times is given by the well known formula $S(t) \approx {1\over 3}\ln {t}$. We…

Strongly Correlated Electrons · Physics 2017-07-07 Romain Vasseur , Hubert Saleur

A critically enhanced decay of the Loschmidt echo is characteristic of sudden quench dynamics near a quantum phase transition. Here, we demonstrate that the decay and revival of the Loschmidt echo follows power-law scaling in the system…

Quantum Physics · Physics 2019-04-23 Myung-Joong Hwang , Bo-Bo Wei , Susana F. Huelga , Martin B. Plenio

The Fermi liquid paradigm for metals has contributed enormously to our understanding of condensed matter systems. However a growing number of quantum critical systems have been shown to exhibit non Fermi liquid behavior. A full…

Strongly Correlated Electrons · Physics 2020-09-02 C. -Y. Lin , Y. -Y. Chang , C. Rylands , N. Andrei , C. -H. Chung

We provide an exact description of out-of-equilibrium fixed points in quantum impurity systems, that is able to treat time-dependent forcing. Building on this, we then show that analytical out-of-equilibrium results, that exactly treat…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 Loïc Freton , Edouard Boulat

Taking the quantum Kitaev chain as an example, we have studied the universal dynamical behaviors resulting from quantum criticality under the condition of environmental temperature quench. Our findings reveal that when the quantum parameter…

Quantum Physics · Physics 2026-01-21 Chengxiang Ding , Long Zhang

We study the non-equilibrium dynamics of the Luttinger model after a quantum quench, when the initial state is a finite temperature thermal equilibrium state. The diagonal elements of the density matrix in the steady state show thermal…

Strongly Correlated Electrons · Physics 2013-10-16 Ádám Bácsi , Balázs Dóra

The accurate description and robust computational modeling of the nonequilibrium properties of quantum systems remain a challenge in condensed matter physics. In this work, we develop a linear-scale computational simulation technique for…

Disordered Systems and Neural Networks · Physics 2024-02-23 Niaz Ali Khan , Wen Chen , Munsif Jan , Gao Xianlong

The non-equilibrium dynamics of a system that is located in the vicinity of a quantum critical point is affected by the critical slowing down of order-parameter correlations with the potential for novel out-of-equilibrium universality.…

Strongly Correlated Electrons · Physics 2015-09-16 Pia Gagel , Peter P. Orth , Jörg Schmalian

We investigate the out-of-equilibrium properties of a simple quantum impurity model, the interacting resonant level model (IRLM). We focus on the scaling regime, where the bandwidth of the fermions in the leads is larger than all the other…

Strongly Correlated Electrons · Physics 2017-12-06 Kemal Bidzhiev , Grégoire Misguich
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