Quantum Smoluchowski equation for a spin bath

Sinha, Sudarson Sekhar; Ghosh, Arnab; Ray, Deb Shankar

doi:10.1103/physreve.84.031118

Cited by 10 publications

(4 citation statements)

References 44 publications

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“…Although the method has been applied to a liquid crystalline system in the present work, the method can, in general, be applied to any lattice spin model with continuous energy spectrum. This method has resulted in efficient simulation of continuous models with XY symmetry [43,44]. Finally, we stress that the focus in this paper is to test the performance of the WL algorithm in continuous lattice spin models with the proposed spin update scheme.…”

Section: Discussionmentioning

confidence: 99%

“…Moreover, defining a spin update in that way, the algorithm becomes free from tuning any adjustable parameter even while simulating a lattice spin model with continuous energy spectrum. This spin update method has resulted in efficient simulation of continuous lattice spin models with XY symmetry [43,44]. The energy of the 1d LL model is a continuous variable and it can have any value between −L to L/2 where L is the system size.…”

Section: Computational Techniquesmentioning

confidence: 99%

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Performance of Wang–Landau algorithm in lattice model of liquid crystals

Sinha¹

2012

Computer Physics Communications

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Section: Discussionmentioning

confidence: 99%

Section: Computational Techniquesmentioning

confidence: 99%

Performance of Wang–Landau algorithm in lattice model of liquid crystals

Sinha¹

2012

Computer Physics Communications

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“…Metastability in open quantum systems and relaxation processes from metastable states are a fundamental issue in many branches of physics and chemistry, and recently have been subject of increasing interest [23,79,80,81,82,83,84,85,86,87]. In this section, in order to analyze the evolution of a quantum particle, interacting with a thermal bath, initially placed in a metastable state we consider a time-independent asymmetric bistable potential.…”

Section: Quantum Metastable Systemmentioning

confidence: 99%

Untitled

Cognata

Spagnolo²,

Caldara

et al. 2012

Acta Phys. Pol. B

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Relaxation phenomena in three different classical and quantum systems are investigated. First, the role of multiplicative and additive noise in a classical metastable system is analyzed. The mean lifetime of the metastable state shows a nonmonotonic behavior with a maximum as a function of both the additive and multiplicative noise intensities. In the second system, the simultaneous action of thermal and non-Gaussian noise on the dynamics of an overdamped point Josephson junction is studied. The effect of a Lévy noise generated by a Cauchy-Lorentz distribution on the mean lifetime of the superconductive metastable state, in the presence of a periodic driving, is investigated. We find resonant activation and noise enhanced stability in the presence of Lévy noise. Finally, the time evolution of a quantum particle moving in a metastable potential and interacting with a thermal reservoir is analyzed. Within the Caldeira-Legget model and the Feynman-Vernon functional approach, we obtain the time evolution of the population distributions in the position eigenstates of the particle, for different values of the thermal bath coupling strength.

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“…Thus, in analogy to coherent state |α [77][78][79][80] for bosonic field which is a displaced state |α = D(α)|0 produced by the action of the displacement operatorD(α) = exp ∑ i (α iâ † i − α * iâ i ) on the vacuum |0 , where {α i } being a set of complex numbers [77][78][79][80][81][82][83][84], it is possible to construct the normalized coherent state for fermions [39].…”

Section: Coherent States For Fermionsmentioning

confidence: 99%

Born-Kothari Condensation for Fermions

Ghosh

2017

Entropy

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Abstract:In the spirit of Bose-Einstein condensation, we present a detailed account of the statistical description of the condensation phenomena for a Fermi-Dirac gas following the works of Born and Kothari. For bosons, while the condensed phase below a certain critical temperature, permits macroscopic occupation at the lowest energy single particle state, for fermions, due to Pauli exclusion principle, the condensed phase occurs only in the form of a single occupancy dense modes at the highest energy state. In spite of these rudimentary differences, our recent findings [Ghosh and Ray, 2017] identify the foregoing phenomenon as condensation-like coherence among fermions in an analogous way to Bose-Einstein condensate which is collectively described by a coherent matter wave. To reach the above conclusion, we employ the close relationship between the statistical methods of bosonic and fermionic fields pioneered by Cahill and Glauber. In addition to our previous results, we described in this mini-review that the highest momentum (energy) for individual fermions, prerequisite for the condensation process, can be specified in terms of the natural length and energy scales of the problem. The existence of such condensed phases, which are of obvious significance in the context of elementary particles, have also been scrutinized.

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Quantum Smoluchowski equation for a spin bath

Cited by 10 publications

References 44 publications

Performance of Wang–Landau algorithm in lattice model of liquid crystals

Performance of Wang–Landau algorithm in lattice model of liquid crystals

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Born-Kothari Condensation for Fermions

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