Nose-Hoover dynamics for coherent states

被引:10
|
作者
Mentrup, D [1 ]
Schnack, J [1 ]
机构
[1] Univ Osnabruck, Fachbereich Phys, D-49069 Osnabruck, Germany
关键词
quantum statistics; canonical ensemble; ergodic behaviour; thermostat; mixed quantum classical system;
D O I
10.1016/S0378-4371(01)00230-8
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The popular method of Nose and Hoover to create canonically distributed positions and momenta in classical molecular dynamics simulations is generalized to a genuine quantum system of infinite dimensionality. We show that for the quantum harmonic oscillator, the equations of motion in terms of coherent states can easily be modified in an analogous manner to mimic the coupling of the system to a thermal bath and create a quantum canonical ensemble. Possible applications to more complex systems, especially interacting Fermion systems, are proposed. (C) 2001 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:337 / 347
页数:11
相关论文
共 50 条
  • [1] Isothermal quantum dynamics: Nose-Hoover dynamics for coherent states
    Mentrup, D
    Schnack, J
    [J]. INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2003, 17 (28): : 5449 - 5452
  • [2] Nose-Hoover dynamics in a shaker
    Faou, E
    [J]. JOURNAL OF CHEMICAL PHYSICS, 2006, 124 (18):
  • [3] Generalization of Nose and Nose-Hoover isothermal dynamics
    Branka, AC
    Wojciechowski, KW
    [J]. PHYSICAL REVIEW E, 2000, 62 (03) : 3281 - 3292
  • [4] Nonequilibrium Thermodynamics and Nose-Hoover Dynamics
    Esposito, Massimiliano
    Monnai, Takaaki
    [J]. JOURNAL OF PHYSICAL CHEMISTRY B, 2011, 115 (18): : 5144 - 5147
  • [5] On integrability of the Nose-Hoover oscillator and generalized Nose-Hoover oscillator
    Li, Wenlei
    Shi, Shaoyun
    Yang, Shuangling
    [J]. INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2022, 19 (08)
  • [6] THE NOSE-HOOVER THERMOSTAT
    EVANS, DJ
    HOLIAN, BL
    [J]. JOURNAL OF CHEMICAL PHYSICS, 1985, 83 (08): : 4069 - 4074
  • [7] Nose-Hoover nonequilibrium dynamics and statistical mechanics
    Hoover, Wm. G.
    [J]. MOLECULAR SIMULATION, 2007, 33 (1-2) : 13 - 19
  • [8] Nose-Hoover dynamics in quantum phase space
    Sergi, Alessandro
    Petruccione, Francesco
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2008, 41 (35)
  • [9] Tsallis dynamics using the Nose-Hoover approach
    Fukuda, I
    Nakamura, H
    [J]. PHYSICAL REVIEW E, 2002, 65 (02): : 1 - 026105
  • [10] Nose-Hoover dynamics of a nonintegrable Hamiltonian system
    Tiwari, S
    Ramaswamy, R
    [J]. JOURNAL OF MOLECULAR STRUCTURE-THEOCHEM, 1996, 361 : 111 - 116