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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    The European physical journal 10 (1999), S. 719-729 
    ISSN: 1434-6036
    Keywords: PACS. 05.30.-d Quantum statistical mechanics[:AND:] 05.40.-a Fluctuation phenomena, random processes, noise and Brownian motion - 33.80.Be Level crossing and optical pumping
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract: The dynamics of the reduced density matrix of the driven dissipative two-state system is studied for a general diagonal/off-diagonal initial state. We derive exact formal series expressions for the populations and coherences and show that they can be cast into the form of coupled nonconvolutive exact master equations and integral relations. We show that neither the asymptotic distributions, nor the transition temperature between coherent and incoherent motion, nor the dephasing rate and relaxation rate towards the equilibrium state depend on the particular initial state chosen. However, in the underdamped regime, effects of the particular initial preparation, e.g. in an off-diagonal state of the density matrix, strongly affect the transient dynamics. We find that an appropriately tuned external ac-field can slow down decoherence and thus allow preparation effects to persist for longer times than in the absence of driving.
    Type of Medium: Electronic Resource
    Library Location Call Number Volume/Issue/Year Availability
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Journal of superconductivity 12 (1999), S. 783-787 
    ISSN: 1572-9605
    Keywords: Josephson tunneling ; mesoscopic systems ; quantum dissipative systems
    Source: Springer Online Journal Archives 1860-2000
    Topics: Electrical Engineering, Measurement and Control Technology , Physics
    Notes: Abstract We study exact self-duality in the model of a Brownian particle in a washboard (WB) potential which describes a Josephson junction (JJ) coupled to an environment, for arbitrary temperature and arbitrary form of the spectral density of the environment. To this end we introduce the quantum dissipative Villain model (QDVM), which models tunneling of a degree of freedom coupled to a linear quantum environment through an infinite set of states. We derive general exact mappings on various dual discrete representations (one-dimensional Coulomb gases or surface-roughening models) which are exactly self-dual. Then we show how the QDVM maps exactly onto the WB model and use duality relations to calculate the leading terms of the total impedance of a JJ circuit, for general frequency dependence of the spectral density of the environment and arbitrary temperature.
    Type of Medium: Electronic Resource
    Library Location Call Number Volume/Issue/Year Availability
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