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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

We study the response to sudden local perturbations of highly excited Quantum Ising Spin Chains. The key quantity encoding this response is the overlap between time-dependent wave functions, which we write as a two-times Loschmidt echo. Its…

Statistical Mechanics · Physics 2016-11-29 Carla Lupo , Marco Schiró

We study the temporal evolution of the circuit complexity after the local quench where two harmonic chains are suddenly joined, choosing the initial state as the reference state. We discuss numerical results for the complexity for the…

High Energy Physics - Theory · Physics 2021-09-10 Giuseppe Di Giulio , Erik Tonni

Closed quantum systems evolve unitarily and therefore cannot converge in a strong sense to an equilibrium state starting out from a generic pure state. Nevertheless for large system size one observes temporal typicality. Namely, for the…

Quantum Physics · Physics 2013-03-21 Lorenzo Campos Venuti , Paolo Zanardi

We study one-dimensional lattices of interacting spins-1/2 and show that the effects of quenching the amplitude of a local magnetic field applied to a single site of the lattice can be comparable to the effects of a global perturbation…

Statistical Mechanics · Physics 2015-06-18 E. J. Torres-Herrera , Lea F. Santos

We study the effect of two simultaneous local quenches on the evolution of Loschmidt echo and entanglement entropy of a one dimensional transverse Ising model. In this work, one of the local quenches involves the connection of two spin-1/2…

Statistical Mechanics · Physics 2016-06-01 Atanu Rajak , Uma Divakaran

The equilibration dynamics of a closed quantum system is encoded in the long-time distribution function of generic observables. In this paper we consider the Loschmidt echo generalized to finite temperature, and show that we can obtain an…

Quantum Physics · Physics 2011-08-03 Lorenzo Campos Venuti , N. Tobias Jacobson , Siddhartha Santra , Paolo Zanardi

We study a particular type of local quench in a generic quantum critical one-dimensional system, using conformal field theory (CFT) techniques, and providing numerical checks of the results in free fermion systems. The system is initially…

Statistical Mechanics · Physics 2015-03-19 Jean-Marie Stéphan , Jérôme Dubail

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 provide numerical evidence that after a local quench in an isolated infinite quantum spin chain, the quantum state locally relaxes to the ground state of the post-quenched Hamiltonian, i.e. dissipates. This is a consequence of the…

Statistical Mechanics · Physics 2020-10-05 Yantao Wu

The equilibrium physics of quantum impurities frequently involves a universal crossover from weak to strong reservoir-impurity coupling, characterized by single-parameter scaling and an energy scale $T_K$ (Kondo temperature) that breaks…

Strongly Correlated Electrons · Physics 2014-09-24 D. M. Kennes , V. Meden , R. Vasseur

We study the temporal evolution of the circuit complexity for a subsystem in harmonic lattices after a global quantum quench of the mass parameter, choosing the initial reduced density matrix as the reference state. Upper and lower bounds…

High Energy Physics - Theory · Physics 2021-05-13 Giuseppe Di Giulio , Erik Tonni

We investigate quench dynamics in a one-dimensional spin model, comparing both quantum and classical descriptions. Our primary focus is on the different timescales involved in the evolution of the observables as they approach statistical…

Statistical Mechanics · Physics 2024-11-21 Fausto Borgonovi , Felix M. Izrailev , Lea F. Santos

In recent times it has been observed that signatures of equilibrium quantum criticality surprisingly show up in many-body systems which are manifestly far from equilibrium. We explore such scenarios in interacting spin systems subject to a…

Statistical Mechanics · Physics 2023-03-02 Souvik Bandyopadhyay , Anatoli Polkovnikov , Amit Dutta

Understanding the non-equilibrium dynamics of extended quantum systems after the trigger of a sudden, global perturbation (quench) represents a daunting challenge, especially in the presence of interactions. The main difficulties stem from…

Strongly Correlated Electrons · Physics 2009-11-13 Alexandre Faribault , Pasquale Calabrese , Jean-Sebastien Caux

We study a quench protocol that conserves the entanglement spectrum of a bipartition of a quantum system. As an example we consider the splitting of a critical Ising chain in two chains, and compare it with the well known case of joining of…

Strongly Correlated Electrons · Physics 2014-12-22 Alejandro Zamora , Javier Rodriguez-Laguna , Maciej Lewenstein , Luca Tagliacozzo

By means of free fermionic techniques combined with multiple precision arithmetic we study the time evolution of the average magnetization, $\overline{m}(t)$, of the random transverse-field Ising chain after global quenches. We observe…

Disordered Systems and Neural Networks · Physics 2017-04-05 Gergo Roosz , Yu-Cheng Lin , Ferenc Igloi

We study the quantum dynamics resulting from preparing a one-dimensional quantum system in the ground state of initially two decoupled parts which are then joined together (local quench). Specifically we focus on the transverse Ising chain…

Statistical Mechanics · Physics 2013-05-20 Uma Divakaran , Ferenc Iglói , Heiko Rieger

The (Loschmidt) overlap between the state at different times after a quantum quench is attracting increasing interest, as it was recently shown that in the thermodynamic limit its logarithm per unit of length has a non-analytic behavior if…

Statistical Mechanics · Physics 2013-09-09 Maurizio Fagotti

We present results on quantum quenches in systems with a fixed number of particles in a large region. We show that the typical differences between local and global quenches present in systems with regular thermodynamic limit are lacking in…

Statistical Mechanics · Physics 2014-02-26 Yulia E. Shchadilova , Pedro Ribeiro , Masudul Haque
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