Non-Markovian dynamics of mixed fermionic–bosonic systems: Full coupling

Sargsyan, V. V.; Hovhannisyan, A.; Adamian, G. G.; Antonenko, N. V.; Lacroix, Denis

doi:10.1016/j.physa.2018.04.008

Cited by 8 publications

(14 citation statements)

References 18 publications

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“…)in the case when all reservoirs have the same quantum nature (ā = b or f ) which differs from the one of the system oscillator (a = f or b) [1−p = 0, N ā = N, N a = 0]. Equations (19) and(20) generalize the equations given in Ref [18]. for a single bath.…”

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confidence: 82%

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Applicability of the absence of equilibrium in quantum system fully coupled to several fermionic and bosonic heat baths

Sargsyan,

Hovhannisyan,

Adamian

et al. 2020

Preprint

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The time evolution of occupation number is studied for fermionic or bosonic oscillator linearly fully coupled to several fermionic and bosonic heat baths. The influence of characteristics of thermal reservoirs of different statistics on the non-stationary population probability is analyzed at large times. Applications of the absence of equilibrium in such systems are discussed. The idea of creating a dynamic memory storage device based on a non-stationary system is proposed.

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confidence: 82%

“…As shown in Refs. [11,18], for the fermionic (a = f ) or bosonic (a = b) oscillator (with the renormalized frequency Ω) linearly fully coupled to…”

Section: B Master-equation For Occupation Number Of Quantum Systemmentioning

confidence: 99%

Applicability of the absence of equilibrium in quantum system fully coupled to several fermionic and bosonic heat baths

Sargsyan,

Hovhannisyan,

Adamian

et al. 2020

Preprint

Self Cite

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show abstract

“…We follow here our previous work [21][22][23][24][25][26][27] and consider a Fermi or Bose system coupled to one or several baths. Some of the baths could be composed of fermions and some other of bosons.…”

Section: Methodsmentioning

confidence: 99%

“…We note that the Hamiltonian (1) can be used to describe a single Qubit surrounded by one or several heat-baths. In our previous work, we used the Heisenberg representation to obtain a solution to the system+environment problem taking into account possible non-Markovian effects [21][22][23][24][25][26][27]. The solution we provided, once the frequency is properly renormalized (see discussion below), is exact for the FC coupling when only bosonic particles are considered for both the system and the heat-baths.…”

Section: Methodsmentioning

confidence: 99%

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Non-Markovian modeling of Fermi-Bose systems coupled to one or several Fermi-Bose thermal baths

Lacroix,

Sargsyan,

Adamian

et al. 2020

Preprint

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A method is proposed to describe Fermi or Bose systems coupled to one or several heat baths composed of fermions and/or bosons. The method, called Coupled Equations of Motion method, properly includes non-Markovian effects. The approach is exact in the Full-Coupling approximation when only bosonic particles are present in the system and baths. The approach provides an approximate treatment when fermions are present either in the system and/or in one or several environments. The new approach has the advantage to properly respect the Pauli exclusion principle for fermions during the evolution. We illustrate the approach for the single Fermi or Bose two-level system coupled to one or two heat-baths assuming different types of quantum statistics (Fermion or Bosons) for them. The cases of Fermi system coupled to fermion or boson heat baths or a mixture of both are analyzed in details. With the future goal to treat Fermi systems formed of increasing number of two-level systems (Qubits), we discuss possible simplifications that could be made in the equations of motion and their limits of validity in terms of the system-baths coupling or of the initial heat baths temperatures.

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Galvano- and thermo-magnetic effects at low and high temperatures within non-Markovian quantum Langevin approach

Abdurakhmanov

Adamian

Antonenko

et al. 2018

Physica A: Statistical Mechanics and its Applications

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The quantum Langevin formalism is used to study the charge carrier transport in a twodimensional sample. The center of mass of charge carriers is visualized as a quantum particle, while an environment acts as a heat bath coupled to it through the particle-phonon interaction.The dynamics of the charge carriers is limited by the average collision time which takes effectively into account the two-body effects. The functional dependencies of particle-phonon interaction and average collision time on the temperature and magnetic field are phenomenologically treated. The galvano-magnetic and thermo-magnetic effects in the quantum system appear as the result of the transitional processes at low temperatures.

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Non-Markovian dynamics of mixed fermionic–bosonic systems: Full coupling

Cited by 8 publications

References 18 publications

Applicability of the absence of equilibrium in quantum system fully coupled to several fermionic and bosonic heat baths

Applicability of the absence of equilibrium in quantum system fully coupled to several fermionic and bosonic heat baths

Non-Markovian modeling of Fermi-Bose systems coupled to one or several Fermi-Bose thermal baths

Galvano- and thermo-magnetic effects at low and high temperatures within non-Markovian quantum Langevin approach

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