Abstract:We discuss the influence of a zero-temperature environment on a coherent quantum system. First, we calculate the reduced density operator of the system in the framework of the well-known, exactly solvable model of an oscillator coupled to a bath of harmonic oscillators. Then, we propose the sketch of an Aharonov-Bohm-like interferometer showing, through interference measurements, the decrease of the coherence length of the system due to the interaction with the environment, even in the zero temperature limit.
“…Also Ratchov et al discussed about decrease in coherence length of Aharonov-Bohm like interferrometer due to the interaction with a zero temperature environment. Again, one can think of extending this work by following the method used in this paper for the finite temperature analysis [44]. Apart from that, one can think of another area in which thermodynamics plays a crucial role.…”
Abstract.Explicit results for various quantum thermodynamic function (QTF) of a charged magneto-oscillator coupled to a heat bath at arbitrary temperature are demonstrated in this paper. Discernible expressions for different QTF in the two limits of very low and very high temperatures are presented for three popular heat bath models : Ohmic, single relaxation time and blackbody radiation. The central result is that the effect of magnetic field turns out to be important at low temperatures yet crucial at high temperatures. It is observed that the dissipation parameter, γ, and the cyclotron frequency, ω c , affect the decaying or rising behaviour of various QTF in just the opposite way to each other at low temperatures. In the high temperature regime, the effect of γ is much pronounced than that of ω c .
“…Also Ratchov et al discussed about decrease in coherence length of Aharonov-Bohm like interferrometer due to the interaction with a zero temperature environment. Again, one can think of extending this work by following the method used in this paper for the finite temperature analysis [44]. Apart from that, one can think of another area in which thermodynamics plays a crucial role.…”
Abstract.Explicit results for various quantum thermodynamic function (QTF) of a charged magneto-oscillator coupled to a heat bath at arbitrary temperature are demonstrated in this paper. Discernible expressions for different QTF in the two limits of very low and very high temperatures are presented for three popular heat bath models : Ohmic, single relaxation time and blackbody radiation. The central result is that the effect of magnetic field turns out to be important at low temperatures yet crucial at high temperatures. It is observed that the dissipation parameter, γ, and the cyclotron frequency, ω c , affect the decaying or rising behaviour of various QTF in just the opposite way to each other at low temperatures. In the high temperature regime, the effect of γ is much pronounced than that of ω c .
“…Since their work was confined to zero temperature, it would be of interest to extend it to non-zero temperatures. In a similar vein, the decrease of the coherence length of an Aharonov-Bohm-like interferometer due to interaction with the environment was examined but again it was confined to zero temperature [15].…”
Small systems (of interest in the areas of nanophysics, quantum information, etc.) are particularly vulnerable to environmental effects. Thus, we determine various thermodynamic functions for an oscillator in an arbitrary heat bath at arbitrary temperatures. Explicit results are presented for the most commonly discussed heat bath models: Ohmic, single relaxation time and blackbody radiation.
“…Low-dimensional conductors and superconductors, normal-superconductor junctions, heat transport and quantum thermodynamics, quantum phase slips, Josephson junctions are among the main keywords associated to his contributions. Unfortunately, the outline of this review did not allow us to describe a series of other works [133][134][135][136][137][138][139][140].…”
In this article, we provide an overview of the scientific contributions of Frank W. J. Hekking to the fields of mesoscopic electron transport and superconductivity as well as atomic gases. Frank Hekking passed away in May 2017. We hope that the present review gives a faithful testimony of his scientific legacy.
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