Walter T Strunz 2005 New J. Phys. 7 91 doi:10.1088/1367-2630/7/1/091
Stochastic pure states for quantum Brownian motion
Focus on Brownian Motion and Diffusion in the 21st CenturyWalter T Strunz
Show affiliationsPart of Focus on Brownian Motion and Diffusion in the 21st Century
We give a new description of quantum Brownian motion in terms of stochastic pure states. The corresponding path integral propagator allows us to establish a direct connection to the classical Langevin equation, in the Schrödinger picture. We show that in the quantum domain, one is naturally led to consider two stochastic processes driving the Brownian dynamics, one of them representing thermal fluctuations, as in the classical case. The second process reflects growing entanglement between the Brownian particle and its environment, and is therefore a truly quantum noise process. Technically, our result rests on the representation of the full propagator of the Brownian particle and its environment in a coherent state basis. For open system dynamics that may be described by a master equation, such stochastic schemes have already been proven to be efficient Monte Carlo methods. Here, we give a new stochastic scheme that covers low temperatures and strong friction, the latter limit being the case Einstein originally investigated.
- PACS
-
42.50.Lc Quantum fluctuations, quantum noise, and quantum jumps
05.10.Gg Stochastic analysis methods (Fokker-Planck, Langevin, etc.)
- Subjects
- Dates
-
Issue 1 (April 2005)
Received 24 January 2005
Published 7 April 2005
-
Stochastic pure states for quantum Brownian motion
Walter T Strunz 2005 New J. Phys. 7 91
-
A system for the investigation of nonlinear dielectric effects using digital techniques
P A Bradley and G P Jones 1974 J. Phys. E: Sci. Instrum. 7 449
-
The incidence of erythemal and UV solar irradiance over Buenos Aires, Argentina
M I Micheletti et al 2003 J. Opt. A: Pure Appl. Opt. 5 S262
-
Anisotropic electric surface resistance of Cu(110)
A Otto et al 2007 New J. Phys. 9 288
-
Fluid flow, heat transfer and inclusion behavior in continuous casting tundishes
K Takatani et al 1993 Modelling Simul. Mater. Sci. Eng. 1 265
-
Doping-dependent phase diagram of LaOMAs (M=V–Cu) and electron-type superconductivity near ferromagnetic instability
G. Xu et al 2008 EPL 82 67002
-
The initiation of EBIS/T-based HCI research in Japan
Shunsuke Ohtani 2004 J. Phys.: Conf. Ser. 2 190
-
Contents ordered by pressure
1998 Plasma Sources Sci. Technol. 7
-
Measuring the interaction law of dissipative solitons
H U Bödeker et al 2004 New J. Phys. 6 62
-
Solar spectroradiometry with the telescope and spectrograph SUMER on the Solar and Heliospheric Observatory SOHO
K Wilhelm et al 2000 Metrologia 37 393
Users also read
What's this?- Exact substitute processes for diffusion–reaction systems with local complete exclusion rules
- Position-dependent diffusion coefficients and free energies from Bayesian analysis of equilibrium and replica molecular dynamics simulations
- Molecular dynamics under confinement to one dimension: options of measurement and accessible information
Related review articles
What's this?- The effective temperature
- Integral characteristics: a key to understanding structure formation in stochastic dynamic systems
- Universal randomness