Quantum Stochastic Dynamics in the Presence of a Time-Periodic Rapidly Oscillating Potential: Nonadiabatic Escape Rate

Shit, Anindita; Chattopadhyay, Sudip; Chaudhuri, Jyotipratim Ray

doi:10.1021/jp402565y

Cited by 8 publications

(5 citation statements)

References 111 publications

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“…We note that the transient dynamics here considered is qualitatively different from that usually investigated, for example, in References [ 39 , 40 , 41 , 42 , 43 , 44 , 45 ]. There, the calculated decay rate gives information on the time the particle takes to leave the metastable well.…”

Section: Transient Dynamics In the Absence Of Drivingcontrasting

confidence: 63%

“…On the other side, stabilization phenomena were observed in the absence of environmental perturbations, such as the life time enhancement of a quantum metastable state driven by a suitable external periodical driving [ 43 ]. In addition, for a particle moving along a nonlinear potential driven by an external periodical signal, it has been shown that the activated escape from a metastable state can be suppressed as the temperature increases [ 44 , 45 ].…”

Section: Introductionmentioning

confidence: 99%

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Enhancing Metastability by Dissipation and Driving in an Asymmetric Bistable Quantum System

Spagnolo

Carollo

Valenti

2018

Entropy

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Abstract:The stabilizing effect of quantum fluctuations on the escape process and the relaxation dynamics from a quantum metastable state are investigated. Specifically, the quantum dynamics of a multilevel bistable system coupled to a bosonic Ohmic thermal bath in strong dissipation regime is analyzed. The study is performed by a non-perturbative method based on the real-time path integral approach of the Feynman-Vernon influence functional. We consider a strongly asymmetric double well potential with and without a monochromatic external driving, and with an out-of-equilibrium initial condition. In the absence of driving we observe a nonmonotonic behavior of the escape time from the metastable region, as a function both of the system-bath coupling coefficient and the temperature. This indicates a stabilizing effect of the quantum fluctuations. In the presence of driving our findings indicate that, as the coupling coefficient γ increases, the escape time, initially controlled by the external driving, shows resonant peaks and dips, becoming frequency-independent for higher γ values. Moreover, the escape time from the metastable state displays a nonmonotonic behavior as a function of the temperature, the frequency of the driving, and the thermal-bath coupling, which indicates the presence of a quantum noise enhanced stability phenomenon. Finally, we investigate the role of different spectral densities, both in sub-Ohmic and super-Ohmic dissipation regime and for different cutoff frequencies, on the relaxation dynamics from the quantum metastable state. The results obtained indicate that, in the crossover dynamical regime characterized by damped intrawell oscillations and incoherent tunneling, the spectral properties of the thermal bath influence non-trivially the short time behavior and the time scales of the relaxation dynamics from the metastable state.

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Section: Transient Dynamics In the Absence Of Drivingcontrasting

confidence: 63%

Section: Introductionmentioning

confidence: 99%

Enhancing Metastability by Dissipation and Driving in an Asymmetric Bistable Quantum System

Spagnolo

Carollo

Valenti

2018

Entropy

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“…[11]. Moreover, suppression of activated escape from a metastable state by increasing the temperature was found in a time-periodically driven quantum dissipative system [12].…”

mentioning

confidence: 95%

“…[11]. Moreover, suppression of activated escape from a metastable state by increasing * e-mail address: davide.valenti@unipa.it † e-mail address: luca.magazzu@unipa.it ‡ e-mail address: bernardo.spagnolo@unipa.it the temperature was found in a time-periodically driven quantum dissipative system [12]. Common wisdom is that environmental fluctuations always enhance the escape from a quantum metastable state.…”

mentioning

confidence: 99%

Stabilization of quantum metastable states by dissipation

et al. 2015

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Normally, quantum fluctuations enhance the escape from metastable states in the presence of dissipation. Here we show that dissipation can enhance the stability of a quantum metastable system, consisting of a particle moving in a strongly asymmetric double well potential, interacting with a thermal bath. We find that the escape time from the metastable region has a nonmonotonic behavior versus the system-bath coupling and the temperature, producing a stabilizing effect

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“…Usually, the quantum noise and/or the dissipative environment influence in a significative way the dynamics of a quantum system characterized by a metastable state. Indeed, the decay and escape rates from a metastable state have recently received increasing interest [7,86,[164][165][166][167][168]. This problem is of general interest in many areas of physics, where the quantum systems show metastability.…”

Section: Quantum Metastable Statementioning

confidence: 99%

Nonlinear Relaxation Phenomena in Metastable Condensed Matter Systems

Spagnolo

Guarcello

Magazzù

et al. 2016

Entropy

100

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Nonlinear relaxation phenomena in three different systems of condensed matter are investigated. (i) First, the phase dynamics in Josephson junctions is analyzed. Specifically, a superconductor-graphene-superconductor (SGS) system exhibits quantum metastable states, and the average escape time from these metastable states in the presence of Gaussian and correlated fluctuations is calculated, accounting for variations in the the noise source intensity and the bias frequency. Moreover, the transient dynamics of a long-overlap Josephson junction (JJ) subject to thermal fluctuations and non-Gaussian noise sources is investigated. Noise induced phenomena are observed, such as the noise enhanced stability and the stochastic resonant activation. (ii) Second, the electron spin relaxation process in a n-type GaAs bulk driven by a fluctuating electric field is investigated. In particular, by using a Monte Carlo approach, we study the influence of a random telegraph noise on the spin polarized transport. Our findings show the possibility to raise the spin relaxation length by increasing the amplitude of the external fluctuations. Moreover, we find that, crucially, depending on the value of the external field strength, the electron spin depolarization length versus the noise correlation time increases up to a plateau. (iii) Finally, the stabilization of quantum metastable states by dissipation is presented. Normally, quantum fluctuations enhance the escape from metastable states in the presence of dissipation. We show that dissipation can enhance the stability of a quantum metastable system, consisting of a particle moving in a strongly asymmetric double well potential, interacting with a thermal bath. We find that the escape time from the metastable region has a nonmonotonic behavior versus the system-bath coupling and the temperature, producing a stabilizing effect.Keywords: metastability; nonequilibrium statistical mechanics and nonlinear relaxation time; noise enhanced stability; Josephson junction; spin polarized transport in semiconductors; open quantum systems; quantum noise enhanced stability

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Quantum Stochastic Dynamics in the Presence of a Time-Periodic Rapidly Oscillating Potential: Nonadiabatic Escape Rate

Cited by 8 publications

References 111 publications

Enhancing Metastability by Dissipation and Driving in an Asymmetric Bistable Quantum System

Enhancing Metastability by Dissipation and Driving in an Asymmetric Bistable Quantum System

Stabilization of quantum metastable states by dissipation

Nonlinear Relaxation Phenomena in Metastable Condensed Matter Systems

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