22 citations · 48 across the 7 of their papers we have counts for
7 papers
Analytical evaluation of the coefficients of the Hu-Paz-Zhang master equation: Ohmic spectral density, zero temperature, and consistency check
G. Homa, J. Z. Bernád, A. Csordás
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 e…
Newton's identities and positivity of trace class integral operators
G. Homa, R. Balka, J. Z. Bernád +2
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…
Range of applicability of the Hu-Paz-Zhang master equation
G. Homa, A. Csordás, M. A. Csirik +1
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 perturbatio…
Short time behavior of continuous time quantum walks on graphs
Balázs Endre Szigeti, Gábor Homa, Zoltán Zimborás +1
Dynamical evolution of systems with sparse Hamiltonians can always be recognized as continuous time quantum walks (CTQWs) on graphs. In this paper, we analyze the short time asympt…
Positivity violations of the density operator in the Caldeira-Leggett master equation
G. Homa, J. Z. Bernád, L. Lisztes
The Caldeira-Leggett master equation as an example of Markovian master equation without Lindblad form is investigated for mathematical consistency. We explore situations both analy…
Notes on oldest jump unravelling of spatial decoherence master equation
Gábor Homa, Lajos Diósi
Solution of free particle quantum master equation with spatial decoherence can be unravelled into stochastic quantum trajectories in many ways. The first example, published in 1985…
Calculation of the even-odd energy difference in superfluid Fermi systems using the pseudopotential theory
A. Csordás, G. Homa, P. Szépfalusy
The pseudopotential theory is extended to the Bogoliubov-de Gennes equations to determine the excess energy when one atom is added to the trapped superfluid Fermi system with even…