On the theory of quantum quenches in near-critical systems

The theory of quantum quenches in near-critical one-dimensional systems formulated in Delfino (2014 J. Phys. A: Math. Theor. 402001) yields analytic predictions for the dynamics, unveils a qualitative difference between noninteracting and interacting systems, with undamped oscillations of one-point...

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Principais autores:	Delfino, Gesualdo, Viti, Jacopo
Formato:	article
Idioma:	English
Publicado em:	IOP Publishing
Assuntos:	Quantum quenches Scaling limit Interacting systems Time scales Oscillations E8 spectrum XYZ chain
Endereço do item:	https://repositorio.ufrn.br/handle/123456789/30326
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id	ri-123456789-30326
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spelling	ri-123456789-303262022-10-19T22:06:05Z On the theory of quantum quenches in near-critical systems Delfino, Gesualdo Viti, Jacopo Quantum quenches Scaling limit Interacting systems Time scales Oscillations E8 spectrum XYZ chain The theory of quantum quenches in near-critical one-dimensional systems formulated in Delfino (2014 J. Phys. A: Math. Theor. 402001) yields analytic predictions for the dynamics, unveils a qualitative difference between noninteracting and interacting systems, with undamped oscillations of one-point functions occurring only in the latter case, and explains the presence and role of different time scales. Here we examine additional aspects, determining in particular the relaxation value of one-point functions for small quenches. For a class of quenches we relate this value to the scaling dimensions of the operators. We argue that the E8 spectrum of the Ising chain can be more accessible through a quench than at equilibrium, while for a quench of the plane anisotropy in the XYZ chain we obtain that the one-point function of the quench operator switches from damped to undamped oscillations at ∆ = 1 2 2020-10-08T21:53:56Z 2020-10-08T21:53:56Z 2017-01-23 article DELFINO, Gesualdo; VITI, Jacopo. On the theory of quantum quenches in near-critical systems. Journal Of Physics A: Mathematical and Theoretical, [S.L.], v. 50, n. 8, p. 084004-084004, 23 jan. 2017. Disponível em: https://iopscience.iop.org/article/10.1088/1751-8121/aa5660. Acesso em: 03 ago. 2020. http://dx.doi.org/10.1088/1751-8121/aa5660 1751-8121 10.1088/1751-8121/aa5660 https://repositorio.ufrn.br/handle/123456789/30326 en IOP Publishing
institution	Repositório Institucional
collection	RI - UFRN
language	English
topic	Quantum quenches Scaling limit Interacting systems Time scales Oscillations E8 spectrum XYZ chain
spellingShingle	Quantum quenches Scaling limit Interacting systems Time scales Oscillations E8 spectrum XYZ chain Delfino, Gesualdo Viti, Jacopo On the theory of quantum quenches in near-critical systems
description	The theory of quantum quenches in near-critical one-dimensional systems formulated in Delfino (2014 J. Phys. A: Math. Theor. 402001) yields analytic predictions for the dynamics, unveils a qualitative difference between noninteracting and interacting systems, with undamped oscillations of one-point functions occurring only in the latter case, and explains the presence and role of different time scales. Here we examine additional aspects, determining in particular the relaxation value of one-point functions for small quenches. For a class of quenches we relate this value to the scaling dimensions of the operators. We argue that the E8 spectrum of the Ising chain can be more accessible through a quench than at equilibrium, while for a quench of the plane anisotropy in the XYZ chain we obtain that the one-point function of the quench operator switches from damped to undamped oscillations at ∆ = 1 2
format	article
author	Delfino, Gesualdo Viti, Jacopo
author_facet	Delfino, Gesualdo Viti, Jacopo
author_sort	Delfino, Gesualdo
title	On the theory of quantum quenches in near-critical systems
title_short	On the theory of quantum quenches in near-critical systems
title_full	On the theory of quantum quenches in near-critical systems
title_fullStr	On the theory of quantum quenches in near-critical systems
title_full_unstemmed	On the theory of quantum quenches in near-critical systems
title_sort	on the theory of quantum quenches in near-critical systems
publisher	IOP Publishing
publishDate	2020
url	https://repositorio.ufrn.br/handle/123456789/30326
work_keys_str_mv	AT delfinogesualdo onthetheoryofquantumquenchesinnearcriticalsystems AT vitijacopo onthetheoryofquantumquenchesinnearcriticalsystems
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On the theory of quantum quenches in near-critical systems

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