Open Quantum System Approach Research Articles

Dynamical entanglement formation and dissipation effects in two double quantumdots

We study the static and dynamic formation of entanglement in charge states of a twodouble quantum dot array with two mobile electrons under the effect of an external drivingfield. We include dissipation via contact with a phonon bath. By using the density matrixformalism and an open quantum system approach, we describe the dynamical behaviour ofthe charge distribution (polarization), concurrence (measure of the degree of entanglement)and Bell state probabilities (two qubit states with maximum entanglement) of such asystem, including the role of dot asymmetry and temperature effects. Our results show thatit is possible to obtain entangled states as well as a most probable Bell state, whichcan be controlled by the driving field. We also evaluate how the entanglementformation based on charge states deteriorates as the temperature or asymmetryincreases.

The role of laser pulse duration in the photodesorption of NO/NiO(1 0 0)

The influence of the duration of the stimulating laser pulse in the photodesorption of NO from a NiO(1 0 0)-surface is studied theoretically within a two-dimensional quantum wave packet approach. The complete event including laser-induced excitation and subsequent electronic relaxation is treated consistently from first principles within the surrogate Hamiltonian approach for open quantum systems. We demonstrate that the common assumption of time-scale separation of excitation and relaxation does not hold if ultrashort femtosecond laser pulses are used. We predict a significant effect on rotational distributions of desorbing molecules if the time scales of electronic excitation and relaxation are similar.

An open quantum system approach to EPR correlations in [formula omitted] system

We find the time evolution of the system of two non-interacting unstable particles, distinguishable as well as identical ones, in arbitrary reference frame having only the Kraus operators governing the evolution of its components in the rest frame. We than calculate in the rigorous way Einstein–Podolsky–Rosen quantum correlation functions for K 0 K ¯ 0 system in the singlet state taking into account CP-violation and decoherence and show that the results are exactly the same despite the fact we treat kaons as distinguishable or identical particles which means that the statistics of the particles plays no role, at least in considered cases.

PROGRESS IN THE THEORY OF MIXED QUANTUM-CLASSICAL DYNAMICS

Quantum-classical Liouville dynamics can be used to study the properties of open quantum systems that are coupled to bath or environmental degrees of freedom whose dynamics can be approximated by classical equations of motion. In contrast to many open quantum system approaches, quantum-classical dynamics provides a detailed description of the bath molecules. Such a description is especially appropriate for the study of quantum rate processes, such as proton and electron transport, where the detailed dynamics of the bath has a strong influence on the quantum rate. The quantum-classical Liouville equation can also serve as a starting point for the derivation of reduced descriptions where all or some of the bath degrees of freedom are projected out. Quantum-classical Liouville dynamics can be simulated in terms of an ensemble of surface-hopping trajectories whose character differs from that in other surface-hopping schemes. The results of studies of proton transfer in condensed phase and reactive dynamics in a dissipative environment are presented to illustrate applications of the formalism.

A pathwise ergodic theorem for quantum trajectories

If the time evolution of an open quantum system approaches equilibrium in the time mean, then on any single trajectory of any of its unravelings the time averaged state approaches the same equilibrium state with probability 1. In the case of multiple equilibrium states the quantum trajectory converges in the mean to a random choice from these states.

Entangled two-photon source using biexciton emission of an asymmetric quantum dot in a cavity

A semiconductor based scheme has been proposed for generating entangled photon pairs from the radiative decay of an electrically-pumped biexciton in a quantum dot. Symmetric dots produce polarisation entanglement, but experimentally-realised asymmetric dots produce photons entangled in both polarisation and frequency. In this work, we investigate the possibility of erasing the `which-path' information contained in the frequencies of the photons produced by asymmetric quantum dots to recover polarisation-entangled photons. We consider a biexciton with non-degenerate intermediate excitonic states in a leaky optical cavity with pairs of degenerate cavity modes close to the non-degenerate exciton transition frequencies. An open quantum system approach is used to compute the polarisation entanglement of the two-photon state after it escapes from the cavity, measured by the visibility of two-photon interference fringes. We explicitly relate the two-photon visibility to the degree of Bell-inequality violation, deriving a threshold at which Bell-inequality violations will be observed. Our results show that an ideal cavity will produce maximally polarisation-entangled photon pairs, and even a non-ideal cavity will produce partially entangled photon pairs capable of violating a Bell-inequality.

Quantum-trajectory Monte Carlo method for internal-state evolution of fast ions traversing amorphous solids

We present a theoretical framework for the evolution of the internal state of a fast highly charged one-electron ion traversing an amorphous solid. We employ an open quantum system approach which incorporates the complex array of collisions with electrons and ionic cores in the solid within the framework of system-reservoir interactions. Interactions with the solid environment and the radiation field are treated on the same footing and the quantum master equation for the reduced density matrix of the electronic state of the ion is approximated by a Lindblad equation. The latter allows the solution of this multistate problem in terms of Monte Carlo sampling of quantum trajectories. Similarities and extensions to methods used in quantum optics and previously employed in ion-solid interactions are discussed. Our focus is on the transient buildup and destruction of coherences by stochastic processes. We apply our method to the study of coherence properties of the internal state of a fast ${\mathrm{Kr}}^{35+}$ ion traversing carbon foils. Simulations exhibit clear signatures of partially coherent transitions and are found to be in good agreement with experimental data.

An ergodic theorem for quantum counting processes

For a quantum-mechanical counting process we show ergodicity, under the condition that the underlying open quantum system approaches equilibrium in the time mean. This implies equality of time average and ensemble average for correlation functions of the detection current to all orders and with probability 1.