Dynamics of a quantum particle interacting with a thermal bath and subject to an oscillating asymmetric bistable potential

Bernardo Spagnolo, Luca Magazzu', Davide Valenti, Angelo La Cognata, Pasquale Caldara

Risultato della ricerca: Other contribution

Abstract

Exploiting the approach of the Feynman-Vernon influence functional [1] within the framework of the discrete variable representation (DVR) [2], we consider a quantum particle described by the Caldeira-Leggett model [3]. The particle, “moving” in an asymmetric bistable potential and subject to a periodical driving, interacts with a thermal bath of harmonic oscillators. In this conditions we study the dynamics of the particle by analyzing the time evolution of the populations in the DVR. Specifically we focalize on the position eigenstate located in the shallower well, i.e. metastable state, finding a non-monotonic behaviour of the corresponding population as a function of the frequency. Moreover, for different values of the coupling strength with the thermal bath, we obtain the equilibrium energy of the particle as a function both of the amplitude and frequency of the driving force.
Lingua originaleEnglish
Stato di pubblicazionePublished - 2012

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baths
metastable state
harmonic oscillators
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title = "Dynamics of a quantum particle interacting with a thermal bath and subject to an oscillating asymmetric bistable potential",
abstract = "Exploiting the approach of the Feynman-Vernon influence functional [1] within the framework of the discrete variable representation (DVR) [2], we consider a quantum particle described by the Caldeira-Leggett model [3]. The particle, “moving” in an asymmetric bistable potential and subject to a periodical driving, interacts with a thermal bath of harmonic oscillators. In this conditions we study the dynamics of the particle by analyzing the time evolution of the populations in the DVR. Specifically we focalize on the position eigenstate located in the shallower well, i.e. metastable state, finding a non-monotonic behaviour of the corresponding population as a function of the frequency. Moreover, for different values of the coupling strength with the thermal bath, we obtain the equilibrium energy of the particle as a function both of the amplitude and frequency of the driving force.",
keywords = "Quantum systems with finite Hilbert space;Decoherence; open systems; quantum statistical methods;Fluctuation phenomena, and Brownian motion, noise, random processes",
author = "Bernardo Spagnolo and Luca Magazzu' and Davide Valenti and {La Cognata}, Angelo and Pasquale Caldara",
year = "2012",
language = "English",
type = "Other",

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TY - GEN

T1 - Dynamics of a quantum particle interacting with a thermal bath and subject to an oscillating asymmetric bistable potential

AU - Spagnolo, Bernardo

AU - Magazzu', Luca

AU - Valenti, Davide

AU - La Cognata, Angelo

AU - Caldara, Pasquale

PY - 2012

Y1 - 2012

N2 - Exploiting the approach of the Feynman-Vernon influence functional [1] within the framework of the discrete variable representation (DVR) [2], we consider a quantum particle described by the Caldeira-Leggett model [3]. The particle, “moving” in an asymmetric bistable potential and subject to a periodical driving, interacts with a thermal bath of harmonic oscillators. In this conditions we study the dynamics of the particle by analyzing the time evolution of the populations in the DVR. Specifically we focalize on the position eigenstate located in the shallower well, i.e. metastable state, finding a non-monotonic behaviour of the corresponding population as a function of the frequency. Moreover, for different values of the coupling strength with the thermal bath, we obtain the equilibrium energy of the particle as a function both of the amplitude and frequency of the driving force.

AB - Exploiting the approach of the Feynman-Vernon influence functional [1] within the framework of the discrete variable representation (DVR) [2], we consider a quantum particle described by the Caldeira-Leggett model [3]. The particle, “moving” in an asymmetric bistable potential and subject to a periodical driving, interacts with a thermal bath of harmonic oscillators. In this conditions we study the dynamics of the particle by analyzing the time evolution of the populations in the DVR. Specifically we focalize on the position eigenstate located in the shallower well, i.e. metastable state, finding a non-monotonic behaviour of the corresponding population as a function of the frequency. Moreover, for different values of the coupling strength with the thermal bath, we obtain the equilibrium energy of the particle as a function both of the amplitude and frequency of the driving force.

KW - Quantum systems with finite Hilbert space;Decoherence; open systems; quantum statistical methods;Fluctuation phenomena

KW - and Brownian motion

KW - noise

KW - random processes

UR - http://hdl.handle.net/10447/83745

M3 - Other contribution

ER -