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By analyzing spin-spin correlation functions at relatively short distances, we show that equilibrium near-critical properties can be extracted at short times after quenches into the vicinity of a quantum critical point. The time scales…

The response of physical systems to external perturbations can be used to probe both their equilibrium and non-equilibrium dynamics. While response and correlation functions are related in equilibrium by fluctuation-dissipation theorems,…

统计力学 · 物理学 2014-04-24 Matteo Marcuzzi , Andrea Gambassi

To sensitively test scaling in the 2D XY model quenched from high-temperatures into the ordered phase, we study the difference between measured correlations and the (scaling) results of a Gaussian-closure approximation. We also directly…

统计力学 · 物理学 2009-10-31 F. Rojas , A. D. Rutenberg

The non-equilibrium dynamics of an isolated quantum system after a sudden quench to a dynamical critical point is expected to be characterized by scaling and universal exponents due to the absence of time scales. We explore these features…

统计力学 · 物理学 2015-11-04 Anna Maraga , Alessio Chiocchetta , Aditi Mitra , Andrea Gambassi

The complete knowledge of a theory is encoded in its correlation functions. Thus non-perturbative effects, like confinement in QCD, is necessarily contained in these correlation functions. As a consequence, a number of confinement scenarios…

高能物理 - 格点 · 物理学 2013-10-31 Tajdar Mufti , Axel Maas

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

The effect of cooling on a number of observables is calculated in SU(2) lattice gauge theory. The static quark-antiquark potential and spin-dependent interactions are studied, and the topological charge is monitored. The chiral symmetry…

高能物理 - 格点 · 物理学 2010-11-01 Howard D. Trottier , R. M. Woloshyn

Global quantum quench with a finite quench rate which crosses critical points is known to lead to universal scaling of correlation functions as functions of the quench rate. In this work, we explore scaling properties of the entanglement…

高能物理 - 理论 · 物理学 2017-08-23 Pawel Caputa , Sumit R. Das , Masahiro Nozaki , Akio Tomiya

The dynamics of the Luttinger model and the sine-Gordon model (at the Luther-Emery point and in the semiclassical approximation) after a quantum quench is studied. We compute in detail one and two-point correlation functions for different…

强关联电子 · 物理学 2015-05-13 A. Iucci , M. A. Cazalilla

We study the time evolution of the two-point correlation functions in the XXZ Heisenberg chain after a finite-time quantum quench in the anisotropy. We compare results from numerical simulations to ones obtained in the Luttinger model and…

强关联电子 · 物理学 2019-09-13 Benedikt Schoenauer , Dirk Schuricht

We study a simple model of a quantum Hall system with the electrons confined to a linear, narrow channel. The system is mapped to a 1D system which in the low-energy approximation has the form of a Luttinger liquid with different…

强关联电子 · 物理学 2009-11-13 Mats Horsdal , Jon Magne Leinaas

We consider an interaction quench in the critical spin-1/2 Heisenberg XXZ chain. We numerically compute the time evolution of the two-point correlation functions of spin operators in the thermodynamic limit and compare the results to…

统计力学 · 物理学 2015-09-23 Mario Collura , Pasquale Calabrese , Fabian H. L. Essler

We study the effect of a quantum quench between two tunnel coupled Tomonaga-Luttinger liquids (TLLs) with different speed of sound and interaction parameter. The quench dynamics is induced by switching off the tunnelling and letting the two…

统计力学 · 物理学 2021-01-27 Paola Ruggiero , Laura Foini , Thierry Giamarchi

We study the spreading of correlations after a local quench in a non-relativistic quantum field theory. We focus on noninteracting non-relativistic fermions and study the time evolution after two identical systems in their ground states are…

统计力学 · 物理学 2017-03-08 Bruno Bertini

We study the short-time dynamics of systems that develop ``quasi long-range order'' after a quench to the Kosterlitz-Thouless phase. With the working hypothesis that the ``universal short-time behavior'', previously found in Ising-like…

凝聚态物理 · 物理学 2009-10-28 P. Czerner , U. Ritschel

We show that the time-dependence of correlation functions in an extended quantum system in d dimensions, which is prepared in the ground state of some hamiltonian and then evolves without dissipation according to some other hamiltonian, may…

统计力学 · 物理学 2009-11-11 Pasquale Calabrese , John Cardy

The spin-spin correlation function of the spherical model being precisely at an anisotropic Lifshitz point of arbitrary order is calculated exactly. The results are in agreement with scaling. The scaling function is shown to be universal.…

凝聚态物理 · 物理学 2011-09-26 Laurent Frachebourg , Malte Henkel

The light cone spreading of correlations following a quantum quench is obtained from first principles. Fully taking into account quantum and interaction effects, the derivation shows how light cone dynamics does not require peculiar…

统计力学 · 物理学 2018-06-27 Gesualdo Delfino

Aging effects in the two-time correlation function and the response function after a quench from a high temperature to some low temperature are considered for a simple kinetic random energy model exhibiting stretched exponential relaxation.…

软凝聚态物质 · 物理学 2009-11-11 Gregor Diezemann

We consider the time evolution after quantum quenches in the spin-1/2 Heisenberg XXZ quantum spin chain with Ising-like anisotropy. The time evolution of short-distance spin-spin correlation functions is studied by numerical tensor network…

统计力学 · 物理学 2014-03-05 Maurizio Fagotti , Mario Collura , Fabian H. L. Essler , Pasquale Calabrese
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