Different routes to the classical limit of backflow
- URL: http://arxiv.org/abs/2211.09057v1
- Date: Wed, 16 Nov 2022 17:18:09 GMT
- Title: Different routes to the classical limit of backflow
- Authors: S. V. Mousavi and S. Miret-Artes
- Abstract summary: This work is to analyze the backflow effect in the light of the underlying intrinsic decoherence and the dissipative dynamics.
In all the cases treated here, backflow is gradually suppressed as the intrinsic decoherence process is developing.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Decoherence is a well established process for the emergence of classical
mechanics in open quantum systems. However, it can have two different origins
or mechanisms depending on the dynamics one is considering, speaking then about
intrinsic decoherence for isolated systems and environmental decoherence due to
dissipation/fluctuations for open systems. This second mechanism can not be
considered for backflow since no thermal fluctuation terms can be added in the
formalism in order to keep an important requirement for the occurrence of this
effect: only contributions of positive momenta along time should be maintained.
The purpose of this work is to analyze the backflow effect in the light of the
underlying intrinsic decoherence and the dissipative dynamics. For this goal,
we first deal with the Milburn approach where a mean frequency of the unitary
evolution steps undergone for the system is assumed. A comparative analysis is
carried out in terms of the Lindblad master equation. Second, the so-called
quantum-to-classical transition wave equation is analyzed from a linear scaled
Schr\"odinger equation which is derived and expressed in terms of a continuous
parameter covering from the quantum to the classical regime as well as all
in-between dynamical non-classical regimes. This theoretical analysis is
inspired by the Wentzel-Kramers-Brillouin approximation. And third, in order to
complete our analysis, the transition wave equation formalism is also applied
to dissipative backflow within the Caldirola-Kanai approach where the
dissipative dynamics comes from an effective Hamiltonian. In all the cases
treated here, backflow is gradually suppressed as the intrinsic decoherence
process is developing, paying a special attention to the classical limit. The
route to classicality is not unique.
Related papers
- Quantum simulation of the Fokker-Planck equation via Schrodingerization [33.76659022113328]
This paper studies a quantum simulation technique for solving the Fokker-Planck equation.
We employ the Schrodingerization method-it converts any linear partial and ordinary differential equation with non-Hermitian dynamics into systems of Schrodinger-type equations.
arXiv Detail & Related papers (2024-04-21T08:53:27Z) - Exploring the nonclassical dynamics of the "classical" Schr\"odinger
equation [0.0]
We explore the nonlinear effects induced by subtracting a term proportional to Bohm's quantum potential to the usual Schr"odinger equation.
We find an analytical explanation to why the dynamics in the nonlinear "classical" regime is still strongly nonclassical.
arXiv Detail & Related papers (2023-12-05T18:59:50Z) - Semiclassical descriptions of dissipative dynamics of strongly interacting Bose gases in optical lattices [0.0]
We develop methods for describing real-time dynamics of dissipative Bose-Hubbard systems in a strongly interacting regime.
We numerically demonstrate that the discrete TWA approach is able to qualitatively capture the continuous quantum Zeno effect on dynamics.
arXiv Detail & Related papers (2023-07-30T08:39:06Z) - Third quantization of open quantum systems: new dissipative symmetries
and connections to phase-space and Keldysh field theory formulations [77.34726150561087]
We reformulate the technique of third quantization in a way that explicitly connects all three methods.
We first show that our formulation reveals a fundamental dissipative symmetry present in all quadratic bosonic or fermionic Lindbladians.
For bosons, we then show that the Wigner function and the characteristic function can be thought of as ''wavefunctions'' of the density matrix.
arXiv Detail & Related papers (2023-02-27T18:56:40Z) - Reaction-diffusive dynamics of number-conserving dissipative quantum
state preparation [0.0]
We show the emergence of a diffusive regime for the particle and hole density modes at intermediate length- and time-scales.
We also identify processes that limit the diffusive behavior of this mode at the longest length- and time-scales.
Strikingly, we find that these processes lead to a reaction-diffusion dynamics governed by the Fisher-Kolmogorov-Petrovsky-Piskunov equation.
arXiv Detail & Related papers (2023-01-12T19:11:04Z) - Entanglement and thermokinetic uncertainty relations in coherent
mesoscopic transport [0.0]
Coherence leads to entanglement and even nonlocality in quantum systems.
Coherence may lead to a suppression of fluctuations, causing violations of thermo-kinetic uncertainty relations.
Our results provide guiding principles for the design of out-of-equilibrium devices that exhibit nonclassical behavior.
arXiv Detail & Related papers (2022-12-07T18:26:00Z) - On optimization of coherent and incoherent controls for two-level
quantum systems [77.34726150561087]
This article considers some control problems for closed and open two-level quantum systems.
The closed system's dynamics is governed by the Schr"odinger equation with coherent control.
The open system's dynamics is governed by the Gorini-Kossakowski-Sudarshan-Lindblad master equation.
arXiv Detail & Related papers (2022-05-05T09:08:03Z) - Decimation technique for open quantum systems: a case study with
driven-dissipative bosonic chains [62.997667081978825]
Unavoidable coupling of quantum systems to external degrees of freedom leads to dissipative (non-unitary) dynamics.
We introduce a method to deal with these systems based on the calculation of (dissipative) lattice Green's function.
We illustrate the power of this method with several examples of driven-dissipative bosonic chains of increasing complexity.
arXiv Detail & Related papers (2022-02-15T19:00:09Z) - Open-system approach to nonequilibrium quantum thermodynamics at
arbitrary coupling [77.34726150561087]
We develop a general theory describing the thermodynamical behavior of open quantum systems coupled to thermal baths.
Our approach is based on the exact time-local quantum master equation for the reduced open system states.
arXiv Detail & Related papers (2021-09-24T11:19:22Z) - Exponentially accelerated approach to stationarity in Markovian open
quantum systems through the Mpemba effect [0.0]
We show that the relaxation dynamics of Markovian open quantum systems can be accelerated exponentially by devising an optimal unitary transformation.
This initial "rotation" is engineered in such a way that the state of the quantum system becomes to the slowest decaying dynamical mode.
We illustrate our idea by showing how to achieve an exponential speed-up in the convergence to stationarity in Dicke models.
arXiv Detail & Related papers (2021-03-08T19:02:31Z) - Bernstein-Greene-Kruskal approach for the quantum Vlasov equation [91.3755431537592]
The one-dimensional stationary quantum Vlasov equation is analyzed using the energy as one of the dynamical variables.
In the semiclassical case where quantum tunneling effects are small, an infinite series solution is developed.
arXiv Detail & Related papers (2021-02-18T20:55:04Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.