Real-time approach to tunnelling in open quantum systems: Decoherence and anomalous diffusion

Macroscopic quantum tunnelling is described using the master equation for the reduced Wigner function of an open quantum system at zero temperature. Our model consists of a particle trapped in a cubic potential interacting with an environment characterized by dissipative and normal and anomalous dif...

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Autor principal: Calzetta, Esteban Adolfo
Publicado: 2006
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03054470_v39_n30_p9503_Calzetta
http://hdl.handle.net/20.500.12110/paper_03054470_v39_n30_p9503_Calzetta
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_03054470_v39_n30_p9503_Calzetta
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spelling paper:paper_03054470_v39_n30_p9503_Calzetta2023-06-08T15:30:47Z Real-time approach to tunnelling in open quantum systems: Decoherence and anomalous diffusion Calzetta, Esteban Adolfo Macroscopic quantum tunnelling is described using the master equation for the reduced Wigner function of an open quantum system at zero temperature. Our model consists of a particle trapped in a cubic potential interacting with an environment characterized by dissipative and normal and anomalous diffusion coefficients. A representation based on the energy eigenfunctions of the isolated system, i.e. the system uncoupled to the environment, is used to write the reduced Wigner function, and the master equation becomes simpler in that representation. The energy eigenfunctions computed in a WKB approximation incorporate the tunnelling effect of the isolated system and the effect of the environment is described by an equation that is in many ways similar to a Fokker-Planck equation. Decoherence is easily identified from the master equation and we find that when the decoherence time is much shorter than the tunnelling time the master equation can be approximated by a Kramers-like equation describing thermal activation due to the zero point fluctuations of the quantum environment. The effect of anomalous diffusion can be dealt with perturbatively and its overall effect is to inhibit tunnelling. © 2006 IOP Publishing Ltd. Fil:Calzetta, E. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2006 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03054470_v39_n30_p9503_Calzetta http://hdl.handle.net/20.500.12110/paper_03054470_v39_n30_p9503_Calzetta
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description Macroscopic quantum tunnelling is described using the master equation for the reduced Wigner function of an open quantum system at zero temperature. Our model consists of a particle trapped in a cubic potential interacting with an environment characterized by dissipative and normal and anomalous diffusion coefficients. A representation based on the energy eigenfunctions of the isolated system, i.e. the system uncoupled to the environment, is used to write the reduced Wigner function, and the master equation becomes simpler in that representation. The energy eigenfunctions computed in a WKB approximation incorporate the tunnelling effect of the isolated system and the effect of the environment is described by an equation that is in many ways similar to a Fokker-Planck equation. Decoherence is easily identified from the master equation and we find that when the decoherence time is much shorter than the tunnelling time the master equation can be approximated by a Kramers-like equation describing thermal activation due to the zero point fluctuations of the quantum environment. The effect of anomalous diffusion can be dealt with perturbatively and its overall effect is to inhibit tunnelling. © 2006 IOP Publishing Ltd.
author Calzetta, Esteban Adolfo
spellingShingle Calzetta, Esteban Adolfo
Real-time approach to tunnelling in open quantum systems: Decoherence and anomalous diffusion
author_facet Calzetta, Esteban Adolfo
author_sort Calzetta, Esteban Adolfo
title Real-time approach to tunnelling in open quantum systems: Decoherence and anomalous diffusion
title_short Real-time approach to tunnelling in open quantum systems: Decoherence and anomalous diffusion
title_full Real-time approach to tunnelling in open quantum systems: Decoherence and anomalous diffusion
title_fullStr Real-time approach to tunnelling in open quantum systems: Decoherence and anomalous diffusion
title_full_unstemmed Real-time approach to tunnelling in open quantum systems: Decoherence and anomalous diffusion
title_sort real-time approach to tunnelling in open quantum systems: decoherence and anomalous diffusion
publishDate 2006
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03054470_v39_n30_p9503_Calzetta
http://hdl.handle.net/20.500.12110/paper_03054470_v39_n30_p9503_Calzetta
work_keys_str_mv AT calzettaestebanadolfo realtimeapproachtotunnellinginopenquantumsystemsdecoherenceandanomalousdiffusion
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