Divergences in open quantum systems
Sign Up to like & getrecommendations! Published in 2017 at "Journal of High Energy Physics"
DOI: 10.1007/jhep04(2018)008
Abstract: A bstractWe show that for cubic scalar field theories in five and more spacetime dimensions, and for the T = 0 limit of the Caldeira-Leggett model, the quantum master equation for long-wavelength modes initially unentangled… read more here.
Keywords: open quantum; quantum systems; divergences open;
Two-State Quantum Systems Revisited: A Clifford Algebra Approach
Sign Up to like & getrecommendations! Published in 2021 at "Advances in Applied Clifford Algebras"
DOI: 10.1007/s00006-020-01116-1
Abstract: We revisit the topic of two-state quantum systems using the Clifford Algebra in three dimensions $$Cl_3$$ . In this description, both the quantum states and Hermitian operators are written as elements of $$Cl_3$$ . By… read more here.
Keywords: two state; state quantum; clifford algebra; approach ... See more keywords
Entanglement, Complexity, and Causal Asymmetry in Quantum Theories
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DOI: 10.1007/s10701-022-00562-0
Abstract: It is often claimed that one cannot locate a notion of causation in fundamental physical theories. The reason most commonly given is that the dynamics of those theories do not support any distinction between the… read more here.
Keywords: asymmetry; complexity; quantum systems; quantum ... See more keywords
Some Mathematical Problems of Control of Quantum Systems
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Mathematical Sciences"
DOI: 10.1007/s10958-019-04416-5
Abstract: Currently, quantum technologies are actively developing; these technologies are based on quantum effects in individual quantum systems—atoms or molecules. The mathematical study of problems of control of quantum systems is of particular importance. In this… read more here.
Keywords: control quantum; problems control; mathematical problems; quantum systems ... See more keywords
Evolution of quantum correlations in the open quantum systems consisting of two coupled oscillators
Sign Up to like & getrecommendations! Published in 2017 at "Quantum Information Processing"
DOI: 10.1007/s11128-017-1556-4
Abstract: The open quantum systems consisting of coupled and uncoupled asymmetric oscillators are considered with an initial quantum-dot trapped-ion coherent state. The quantum correlations between spatial modes of this trapped ion are examined to find their… read more here.
Keywords: quantum systems; temperature; discord; quantum correlations ... See more keywords
Regarding Nonstationary Quadratic Quantum Systems
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DOI: 10.1007/s11182-019-01654-7
Abstract: With the help of the evolution operator method, we have established unitary connection between quadratic systems, namely between a free particle with variable mass M(t) , a particle with variable mass M(t) in a variable… read more here.
Keywords: particle; quadratic quantum; quantum systems; variable mass ... See more keywords
The fractional dynamics of quantum systems
Sign Up to like & getrecommendations! Published in 2018 at "Annals of Physics"
DOI: 10.1016/j.aop.2018.03.017
Abstract: Abstract The fractional dynamic process of a quantum system is a novel and complicated problem. The establishment of a fractional dynamic model is a significant attempt that is expected to reveal the mechanism of fractional… read more here.
Keywords: dynamics quantum; quantum systems; system; time fractional ... See more keywords
Aspects of non-equilibrium in classical and quantum systems: Slow relaxation and glasses, dynamical large deviations, quantum non-ergodicity, and open quantum dynamics
Sign Up to like & getrecommendations! Published in 2018 at "Physica A: Statistical Mechanics and its Applications"
DOI: 10.1016/j.physa.2017.12.149
Abstract: Abstract In these four lectures I describe basic ideas and methods applicable to both classical and quantum systems displaying slow relaxation and non-equilibrium dynamics. The first half of these notes considers classical systems, and the… read more here.
Keywords: quantum; quantum systems; non equilibrium; slow relaxation ... See more keywords
Reservoir effects on the temperature dependence of the relaxation to equilibrium of three simple quantum systems
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DOI: 10.1016/j.physa.2018.02.210
Abstract: Abstract The approach to thermal equilibrium of each of three simple quantum systems in interaction with a reservoir is analyzed by calculating the time evolution of an observable appropriate for each system. Two types of… read more here.
Keywords: quantum systems; equilibrium three; equilibrium; three simple ... See more keywords
Perturbation theory for open quantum systems at the steady state
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DOI: 10.1016/j.rinp.2018.06.038
Abstract: Abstract We propose a theoretical method for studying open quantum systems at the steady state within the framework of the perturbation theory. This approach allow us to compute the density operator of the system perturbatively… read more here.
Keywords: quantum; quantum systems; perturbation theory; steady state ... See more keywords
Exponential stabilization of two-level quantum systems based on continuous noise-assisted feedback
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DOI: 10.1016/j.rinp.2021.103929
Abstract: Abstract The exponential stabilization of the eigenstates for two-level quantum systems based on continuous noise-assisted feedback control is investigated in this paper. Due to the symmetric structure of state space, quantum systems may converge to… read more here.
Keywords: noise assisted; two level; quantum systems; noise ... See more keywords