Quantum dissipative dynamics a particle in a double-well potential

被引：2

作者：

Kim C.S. ^{[1
]}

Pashin D.S. ^{[2
]}

Satanin A.M. ^{[2
]}

机构：

[1] Department of Physics, Chonnam National University, Gwangju

[2] Lobachevsky Nizhny Novgorod State University, Nizhny Novgorod

来源：

Lobachevskii Journal of Mathematics | 2017年 / 38卷 / 5期

基金：

俄罗斯基础研究基金会;

关键词：

Arnold’s problem; Capture into the resonance; dissipative quantum dynamics; dynamics near the separatrix;

D O I：

10.1134/S1995080217050201

中图分类号：

学科分类号：

摘要：

The results of analytical and numerical investigation of quantum dissipative dynamics a particle moving in a potential well with two equilibrium states is presented. A classical analogue of this problem is the capture into the resonance a particle in a double-well potential, when two states of equilibrium in the phase space are separated by a separatrix. The probability of finding the system in one of states of equilibrium for the quantum particle, depending on initial conditions and noise, is discussed. © 2017, Pleiades Publishing, Ltd.

引用

页码：931 / 935

页数：4

共 50 条

[41] Particle Localization in a Double-Well Potential by Pseudo-Supersymmetric Fields
Bagrov, V. G.
Samsonov, B. F.
Shamshutdinova, V. V.
PHYSICS OF ATOMIC NUCLEI, 2011, 74 (06) : 846 - 851
[42] Brownian Particle's Decoherence in the Double-Well Magnetic Potential Field
Tchoffo, M.
Fouokeng, C. G.
Fai, L. C.
Ngoufo, L. A.
Diffo, J. T.
AFRICAN REVIEW OF PHYSICS, 2014, 9 : 207 - 215
[43] Particle localization in a double-well potential by pseudo-supersymmetric fields
V. G. Bagrov
B. F. Samsonov
V. V. Shamshutdinova
Physics of Atomic Nuclei, 2011, 74 : 846 - 851
[44] Phase-space description of a particle in a quartic double-well potential
Ceausu-Velcescu, Adina
Blaise, Paul
Kalmykov, Yuri P.
INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2014, 28 (24):
[45] Dynamical properties of a particle in a time-dependent double-well potential
Leonel, ED
McClintock, PVE
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2004, 37 (38): : 8949 - 8968
[46] Quantum many-body dynamics of coupled double-well superlattices
Barmettler, Peter
Rey, Ana Maria
Demler, Eugene
Lukin, Mikhail D.
Bloch, Immanuel
Gritsev, Vladimir
PHYSICAL REVIEW A, 2008, 78 (01):
[47] Quantum theory of a double-well potential: Energy levels for symmetric and nonsymmetric double-well potentials in a three-dimensional system
Witwit, MRM
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1996, 75 (02) : 197 - 213
[48] Bounces and the calculation of quantum tunneling effects for the asymmetric double-well potential
Zhou, B
Liang, JQ
Pud, FC
PHYSICS LETTERS A, 2000, 271 (1-2) : 26 - 30
[49] The double-well potential in quantum mechanics: a simple, numerically exact formulation
Jelic, V.
Marsiglio, F.
EUROPEAN JOURNAL OF PHYSICS, 2012, 33 (06) : 1651 - 1666
[50] Gaussian wavepacket dynamics and quantum tunneling in asymmetric double-well systems
Hasegawa, Hideo
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2013, 392 (24) : 6232 - 6246

← 1 2 3 4 5 →