Role of initial conditions in the dynamics of quantum glassy systems

We set the formalism to study the way in which the choice of canonical equilibrium initial conditions affect the real-time dynamics of quantum disordered models. We use a path integral formulation on a time contour with real and imaginary time branches. The factorisation of the time-integration path...

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Detalles Bibliográficos
Publicado: 2019
Materias:
quantum disordered systems
quantum glasses
quantum quenche
spin glasses
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_17425468_v2019_n2_p_Cugliandolo
http://hdl.handle.net/20.500.12110/paper_17425468_v2019_n2_p_Cugliandolo
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_17425468_v2019_n2_p_Cugliandolo
record_format dspace
spelling paper:paper_17425468_v2019_n2_p_Cugliandolo2023-06-08T16:27:07Z Role of initial conditions in the dynamics of quantum glassy systems quantum disordered systems quantum glasses quantum quenche spin glasses We set the formalism to study the way in which the choice of canonical equilibrium initial conditions affect the real-time dynamics of quantum disordered models. We use a path integral formulation on a time contour with real and imaginary time branches. The factorisation of the time-integration paths usually assumed in field-theoretical studies breaks down due to the averaging over quenched randomness. We derive the set of Schwinger-Dyson dynamical equations that govern the evolution of linear response and correlation functions. The solution of these equations is not straightforward as it needs, as an input, the full imaginary-time (or Matsubara frequency) dependence of the correlation in equilibrium. We check some limiting cases (equilibrium dynamics, classical limit) and we set the stage for the analytic and numerical analysis of quenches in random quantum systems. © 2019 IOP Publishing Ltd and SISSA Medialab srl. 2019 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_17425468_v2019_n2_p_Cugliandolo http://hdl.handle.net/20.500.12110/paper_17425468_v2019_n2_p_Cugliandolo
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic quantum disordered systems
quantum glasses
quantum quenche
spin glasses
spellingShingle quantum disordered systems
quantum glasses
quantum quenche
spin glasses
Role of initial conditions in the dynamics of quantum glassy systems
topic_facet quantum disordered systems
quantum glasses
quantum quenche
spin glasses
description We set the formalism to study the way in which the choice of canonical equilibrium initial conditions affect the real-time dynamics of quantum disordered models. We use a path integral formulation on a time contour with real and imaginary time branches. The factorisation of the time-integration paths usually assumed in field-theoretical studies breaks down due to the averaging over quenched randomness. We derive the set of Schwinger-Dyson dynamical equations that govern the evolution of linear response and correlation functions. The solution of these equations is not straightforward as it needs, as an input, the full imaginary-time (or Matsubara frequency) dependence of the correlation in equilibrium. We check some limiting cases (equilibrium dynamics, classical limit) and we set the stage for the analytic and numerical analysis of quenches in random quantum systems. © 2019 IOP Publishing Ltd and SISSA Medialab srl.
title Role of initial conditions in the dynamics of quantum glassy systems
title_short Role of initial conditions in the dynamics of quantum glassy systems
title_full Role of initial conditions in the dynamics of quantum glassy systems
title_fullStr Role of initial conditions in the dynamics of quantum glassy systems
title_full_unstemmed Role of initial conditions in the dynamics of quantum glassy systems
title_sort role of initial conditions in the dynamics of quantum glassy systems
publishDate 2019
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_17425468_v2019_n2_p_Cugliandolo
http://hdl.handle.net/20.500.12110/paper_17425468_v2019_n2_p_Cugliandolo
_version_ 1768541818159366144

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