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Volumn 322, Issue 1-2, 2006, Pages 160-168

Can quantum Brownian motion be Markovian?

Author keywords

Dissipative quantum systems; Quantum Markov process; Quantum master equation; Quantum Smoluchowski equation

Indexed keywords


EID: 33244463034     PISSN: 03010104     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chemphys.2005.08.012     Document Type: Article
Times cited : (25)

References (38)
  • 4
    • 33244495809 scopus 로고    scopus 로고
    • note
    • S, which in cases of nonlinear coupling then becomes temperature dependent.
  • 13
    • 33244491994 scopus 로고    scopus 로고
    • note
    • We mention that in some cases the artifacts of a factorizing initial state can be corrected by "initial slips" of the observables [9].
  • 20
    • 33244468209 scopus 로고    scopus 로고
    • S. See [10] for details.
    • SR(0) is a true density matrix. However, the approach can also be used to study the time evolution of other "initial states", e.g., of B ρ SR eq with O 1 = B, O 1 ′ = 1, which then allows to calculate time-ordered equilibrium correlation functions 〈A(t)B(0)〉of observables A, B of the damped system S. See [10] for details.
  • 21
    • 0038515030 scopus 로고
    • For harmonic potential V(q) such harmonic oscillator models of the bath have a long history reviewed, e.g., by H. Dekker Phys. Rep. 80 1981 1 In the last two decades this reservoir model has extensively been used also for nonlinear systems as surveyed in [17]
    • (1981) Phys. Rep. , vol.80 , pp. 1
    • Dekker, H.1
  • 22
    • 33244465455 scopus 로고    scopus 로고
    • note
    • This potential renormalization can be removed by "counter terms" in the Hamiltonian [10,15-17].
  • 35
    • 33244485579 scopus 로고    scopus 로고
    • note
    • 0/γ), if the effects of the reservoir on the stationary state of S are ignored as it is usually the case with weak coupling QMEs.
  • 38
    • 33244476581 scopus 로고    scopus 로고
    • See [30] for details.
    • The change of the effective potential depends on anharmonicities of the bare potential and is absent for a harmonic oscillator. See [30] for details.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.