Zobrazeno 1 - 10
of 1 189
pro vyhledávání: '"Bernad J"'
Autor:
Bernád, J. Z., Frigyik, A. B.
Often, when we consider the time evolution of a system, we resort to approximation: Instead of calculating the exact orbit, we divide the time interval in question into uniform segments. Chernoff's results in this direction provide us with a general
Externí odkaz:
http://arxiv.org/abs/2407.04357
Publikováno v:
Phys. Rev. A 108, 012210 (2023)
We investigate the exact master equation of Hu, Paz, and Zhang for a quantum harmonic oscillator at zero temperature with a Lorentz-Drude type Ohmic spectral density. This master equation plays an important role in the study of quantum Brownian motio
Externí odkaz:
http://arxiv.org/abs/2211.15722
Publikováno v:
J. Phys. A: Math. Theor. 56, 145203 (2023)
We provide a countable set of conditions based on elementary symmetric polynomials that are necessary and sufficient for a trace class integral operator to be positive semidefinite, which is an important cornerstone for quantum theory in phase-space
Externí odkaz:
http://arxiv.org/abs/2207.06119
Autor:
Sauer, A., Bernád, J. Z.
Publikováno v:
Phys. Rev. A 106, 032423 (2022)
Quantitative characterization of different entanglement detection criteria for bipartite systems is presented. We review the implication sequence of these criteria and then numerically estimate volume ratios between criteria non-violating quantum sta
Externí odkaz:
http://arxiv.org/abs/2207.02049
Publikováno v:
J. Phys. A: Math. Theor. 54, 495302 (2021)
Euclidean volume ratios between quantum states with positive partial transpose and all quantum states in bipartite systems are investigated. These ratios allow a quantitative exploration of the typicality of entanglement and of its detectability by B
Externí odkaz:
http://arxiv.org/abs/2102.00312
Publikováno v:
Phys. Rev. A 102, 022206 (2020)
We investigate a case of the Hu-Paz-Zhang master equation of the Caldeira-Leggett model without Lindblad form obtained in the weak-coupling limit up to the second-order perturbation. In our study, we use Gaussian initial states to be able to employ a
Externí odkaz:
http://arxiv.org/abs/2002.06272
Autor:
Bernád, J. Z.
Iterates of quantum operations and their convergence are investigated in the context of mean ergodic theory. We discuss in detail the convergence of the iterates and show that the uniform ergodic theorem plays an essential role. Our results will foll
Externí odkaz:
http://arxiv.org/abs/1911.03956
Autor:
Bernád, J. Z.
Publikováno v:
Adv. Oper. Theory 5, 15 (2020)
An extension of Chernoff's product formula for one-parameter functions taking values in the space of bounded linear operators on a Banach space is given. Essentially, the $n$-th one-parameter function in the product formula is mapped by the $n$-th it
Externí odkaz:
http://arxiv.org/abs/1812.11819
Publikováno v:
Eur. Phys. J. D 73, 53 (2019), Erratum: Eur. Phys. J. D 73, 128 (2019)
The Caldeira-Leggett master equation as an example of Markovian master equation without Lindblad form is investigated for mathematical consistency. We explore situations both analytically and numerically where the positivity violations of the density
Externí odkaz:
http://arxiv.org/abs/1810.07775
Publikováno v:
Eur. Phys. J. D 72, 212 (2018)
Quantum Brownian motion of a harmonic oscillator in the Markovian approximation is described by the respective Caldeira-Leggett master equation. This master equation can be brought into Lindblad form by adding a position diffusion term to it. The coe
Externí odkaz:
http://arxiv.org/abs/1711.01642