Classical computation of decoherence dynamics in continuous variable systems

Abstract

The utility of classical mechanics to compute the dynamics of decoherence in continuous variable systems, as defined by the time dependence of the system purity, is examined. Its accuracy, in the semiclassical domain, is shown to depend on the nature of the coupling potentials and, less so, on the initial conditions. For a large range of cases, agreement between quantum and classical computations in small systems is shown to be excellent.

Entanglement dynamics via semiclassical propagators in systems of two spins

“…(14), and second derivatives of the complex action S ξ , defined by Eq. (8). We start by performing variations on both sides of Eqs.…”

Quantum interferences and their classical limit in laser driven coherent control scenarios

“…It is through this principle that we are able to establish a connection between the quantum and classical subdivision of observables [Eqs. (15) and (35)], and to define classical analogs of quantum interference contributions. If this principle does not hold then it is possible that quantum and classical interference terms do not correspond to the same physical phenomenon.…”

“…Further, the resulting classical analogues, if they exist, offer alternative perspectives on well established coherent control schemes. Lastly, decoherence effects on laser control could be analyzed from a completely classical perspective [15] and may well offer insight into novel ways to combat it.…”

Quantum tunneling effect in entanglement dynamics

“…With the breakdown in the statistical independence of the trajectories, this method can capture the quantum effect of the system . Entanglement dynamics in the semiclassical regime has been widely studied, for its importance has been recognized in the context of from the explanation of the quantum‐classical transition and its implications to the measurement problem to the understanding of the nonlocal aspects permeating the Einstein–Podolsky–Rosen debate …”

“…With the breakdown in the statistical independence of the trajectories, this method can capture the quantum effect of the system. [11][12][13][14][15][16][17][18][19] Entanglement dynamics in the semiclassical regime has been widely studied, [20][21][22][23] for its importance has been recognized in the context of from the explanation of the quantum-classical transition [24] and its implications to the measurement problem to the understanding of the nonlocal aspects permeating the Einstein-Podolsky-Rosen debate. [3,25] In this article, we investigate quantum tunneling effect in entanglement dynamics in a closed system starting from separable Gauss state using ETMD method.…”