Noncommutative phase-space effects in thermal diffusion of Gaussian states
arXiv:1906.00483 · doi:10.1088/1751-8121/ab3adb
Abstract
Noncommutative phase-space and its effects have been studied in different settings in physics, in order to unveil a better understanding of phase-space structures. Here, we use the thermal diffusion approach to study how noncommutative effects can influence the time evolution of a one-mode Gaussian state when in contact with a thermal environment obeying the Markov approximation. Employing the cooling process and considering the system of interest as a one-mode Gaussian state, we show that the fidelity comparing the Gaussian state of the system in different times and the asymptotic thermal state is useful to sign noncommuative effects. Besides, by using the monotonicity behavior of the fidelity, we discuss some aspects of non-Markovianity during the dynamics.
References in corpus (40)
- Gaussian Quantum Information
- Measure for the Degree of Non-Markovian Behavior of Quantum Processes in Open Systems
- Non-Markovian dynamics in open quantum systems
- The quantum structure of spacetime at the Planck scale and quantum fields
- Entanglement and non-Markovianity of quantum evolutions
- Open Quantum Systems. An Introduction
- Continuous variable quantum information: Gaussian states and beyond
- Non-Commutative Quantum Mechanics
- Quantum information with Gaussian states
- Dissipative preparation of entanglement in optical cavities
- Noncommutative Gravitational Quantum Well
- Quantum fidelity for arbitrary Gaussian states
- Fidelity for displaced squeezed states and the oscillator semigroup
- Multiparameter Gaussian Quantum Metrology
- Emergent Spacetime
- Optomechanics with Cavity Polaritons: Dissipative Coupling and Unconventional Bistability
- Kraus representation of quantum evolution and fidelity as manifestations of Markovian and non-Markovian avataras
- Thermodynamic meaning and power of non-Markovianity
- Dissipation-Assisted Quantum Information Processing with Trapped Ions
- Berry Phase in the Gravitational Quantum Well and the Seiberg-Witten map
- Remarks on the Noncommutative Gravitational Quantum Well
- Entropy production and non-Markovian dynamical maps
- Noncommutative quantum mechanics of a harmonic oscillator under linearized gravitational waves
- Probing phase-space noncommutativity through quantum beating, missing information and the thermodynamic limit
- Noncommutative Graphene
- A new bound on polymer quantization via an opto-mechanical setup
- Wigner Measures in Noncommutative Quantum Mechanics
- Probing noncommutative theories with quantum optical experiments
- Probing phase-space noncommutativity through quantum mechanics and thermodynamics of free particles and quantum rotors
- Metastability in the driven-dissipative Rabi model
- The -value Equation and Wigner Distributions in Noncommutative Heisenberg algebras
- Exact master equation for a noncommutative Brownian particle
- Parametrization and optimization of Gaussian non-Markovian unravelings for open quantum dynamics
- Quantum engines and the range of the second law of thermodynamics in the noncommutative phase-space
- Coherent states in noncommutative quantum mechanics
- On the time optimal thermalization of single mode Gaussian states
- Parameter estimation in the presence of the most general Gaussian dissipative reservoir
- Quantum force estimation in arbitrary non-Markovian Gaussian bath
- Gaussian fidelity distorted by external fields
- Relativistic dispersion relation and putative metric structure in noncommutative phase-space
Cited by in corpus (7)
- Non-commutative space engine: a boost to thermodynamic processes
- Non-Commutative space: boon or bane for quantum engines and refrigerators
- Heat flow and noncommutative quantum mechanics in phase-space
- On the two-dimensional time-dependent anisotropic harmonic oscillator in a magnetic field
- Quantum Cycle in Relativistic Non-Commutative Space with Generalized Uncertainty Principle correction
- Squeezed coherent states for gravitational well in noncommutative space
- Entanglement in phase-space distribution for an anisotropic harmonic oscillator in noncommutative space