Quantum Langevin equation
نویسندگان
چکیده
منابع مشابه
On the Quantum Langevin Equation
Some 20 years ago, in a paper written jointly with Peter Mazur, we presented a discussion of the statistical mechanics of a coupled-oscil lator model of a heat bath. ~1) This model enabled us to obtain the quan tum mechanical form of the Langevin equat ion for a Brownian particle moving in an external potential. Ou r purpose here is to repeat this derivation, using a different, some would say s...
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The quantum Langevin equation is used as the basis for a discussion of dissipative quantum tunneling. A general analysis, including strong coupling and non-markovian (memory) effects, is given for the case oftunneling through a parabolic barrier at zero temperature in the presenceof linear passive dissipation. It is shown that dissipation always decreases the tunneling rate below the barrier an...
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We compute the quantum Langevin equation (or quantum stochastic differential equation) representing the action of a quantum heat bath at thermal equilibrium on a simple quantum system. These equations are obtained by taking the continuous limit of the Hamiltonian description for repeated quantum interactions with a sequence of photons at a given density matrix state. In particular we specialise...
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Based on a coherent state representation of noise operator and an ensemble averaging procedure using Wigner canonical thermal distribution for harmonic oscillators, a generalized quantum Langevin equation has been recently developed [Phys. Rev. E 65, 021109 (2002); 66, 051106 (2002)] to derive the equations of motion for probability distribution functions in c-number phase-space. We extend the ...
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We establish the Langevin equation for the problem of Markovian approximations to the action of a Bose quantum field reservoir R on a quantum mechanical system S as a functional quantum central limit theory. In particular, we study the effect of the time-dependent interaction Υ (λ) t = E11⊗a + t (λ) a − t (λ) +E10⊗a + t (λ)+E01⊗a − t (λ) +E00⊗1 + R on the joint states space hS ⊗ hR where the a ...
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ژورنال
عنوان ژورنال: Journal of Statistical Mechanics: Theory and Experiment
سال: 2020
ISSN: 1742-5468
DOI: 10.1088/1742-5468/ab6de2