scholarly journals Local quantum quenches in critical one-dimensional systems: entanglement, the Loschmidt echo, and light-cone effects

2011 ◽  
Vol 2011 (08) ◽  
pp. P08019 ◽  
Author(s):  
Jean-Marie Stéphan ◽  
Jérôme Dubail
Keyword(s):  
Light Cone ◽  
One Dimensional ◽  
Local Quantum ◽  
Quantum Quenches ◽  
Loschmidt Echo

scholarly journals Hybrid Semiclassical Theory of Quantum Quenches in One-Dimensional Systems

2017 ◽  
Vol 119 (10) ◽  
Author(s):  
Cătălin Paşcu Moca ◽  
Márton Kormos ◽  
Gergely Zaránd
Keyword(s):  
Semiclassical Theory ◽  
One Dimensional ◽  
Quantum Quenches

scholarly journals Momentum correlations as signature of sonic Hawking radiation in Bose-Einstein condensates

2018 ◽  
Vol 4 (4) ◽  
Author(s):  
Alessandro Fabbri ◽  
Nicolas Pavloff
Keyword(s):  
Hawking Radiation ◽  
Momentum Space ◽  
Einstein Condensate ◽  
Measuring Process ◽  
One Dimensional ◽  
Bose Einstein Condensate ◽  
Momentum Correlation ◽  
Quantum Quenches ◽  
Effects Of Temperature ◽  
Bose Einstein

We study the two-body momentum correlation signal in a quasi one dimensional Bose-Einstein condensate in the presence of a sonic horizon. We identify the relevant correlation lines in momentum space and compute the intensity of the corresponding signal. We consider a set of different experimental procedures and identify the specific issues of each measuring process. We show that some inter-channel correlations, in particular the Hawking quantum-partner one, are particularly well adapted for witnessing quantum non-separability, being resilient to the effects of temperature and/or quantum quenches.

scholarly journals Observation of Complex Bound States in the Spin-1/2HeisenbergXXZChain Using Local Quantum Quenches

2012 ◽  
Vol 108 (7) ◽  
Author(s):  
Martin Ganahl ◽  
Elias Rabel ◽  
Fabian H. L. Essler ◽  
H. G. Evertz
Keyword(s):  
Bound States ◽  
Local Quantum ◽  
Quantum Quenches

scholarly journals Quantum quenches to the attractive one-dimensional Bose gas: exact results

2016 ◽  
Vol 1 (1) ◽  
Author(s):  
Lorenzo Piroli ◽  
Pasquale Calabrese ◽  
Fabian Essler
Keyword(s):  
Bound States ◽  
Pair Correlation ◽  
Bose Condensate ◽  
Bose Gas ◽  
Exact Results ◽  
Initial State ◽  
One Dimensional ◽  
Quantum Quenches ◽  
Local Pair ◽  
The One

We study quantum quenches to the one-dimensional Bose gas with attractive interactions in the case when the initial state is an ideal one-dimensional Bose condensate. We focus on properties of the stationary state reached at late times after the quench. This displays a finite density of multi-particle bound states, whose rapidity distribution is determined exactly by means of the quench action method. We discuss the relevance of the multi-particle bound states for the physical properties of the system, computing in particular the stationary value of the local pair correlation function g_2g2.

scholarly journals Time evolution during and after finite-time quantum quenches in the transverse-field Ising chain

2016 ◽  
Vol 1 (1) ◽  
Author(s):  
Tatjana Puskarov ◽  
Dirk Schuricht
Keyword(s):  
Time Evolution ◽  
Finite Time ◽  
Transverse Field ◽  
Transverse Magnetic ◽  
Ising Chain ◽  
Continuous Change ◽  
Time Quantum ◽  
Quantum Quenches ◽  
Point Correlation ◽  
Loschmidt Echo

We study the time evolution in the transverse-field Ising chain subject to quantum quenches of finite duration, ie, a continuous change in the transverse magnetic field over a finite time. Specifically, we consider the dynamics of the total energy, one- and two-point correlation functions and Loschmidt echo during and after the quench as well as their stationary behaviour at late times. We investigate how different quench protocols affect the dynamics and identify universal properties of the relaxation.

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