38 research outputs found
Weisskopf-Wigner Decay Theory for the Energy-Driven Stochastic Schr\"odinger Equation
We generalize the Weisskopf-Wigner theory for the line shape and transition
rates of decaying states to the case of the energy-driven stochastic
Schr\"odinger equation that has been used as a phenomenology for state vector
reduction. Within the standard approximations used in the Weisskopf-Wigner
analysis, and assuming that the perturbing potential inducing the decay has
vanishing matrix elements within the degenerate manifold containing the
decaying state, the stochastic Schr\"odinger equation linearizes. Solving the
linearized equations, we find no change from the standard analysis in the line
shape or the transition rate per unit time. The only effect of the stochastic
terms is to alter the early time transient behavior of the decay, in a way that
eliminates the quantum Zeno effect. We apply our results to estimate
experimental bounds on the parameter governing the stochastic effects.Comment: 29 pages in RevTeX, Added Note, references adde
Decoherence and Relaxation of a Quantum Bit in the Presence of Rabi Oscillations
Dissipative dynamics of a quantum bit driven by a strong resonant field and
interacting with a heat bath is investigated. We derive generalized Bloch
equations and find modifications of the qubit's damping rates caused by Rabi
oscillations. Nonequilibrium decoherence of a phase qubit inductively coupled
to a LC-circuit is considered as an illustration of the general results. It is
argued that recent experimental results give a clear evidence of effective
suppression of decoherence in a strongly driven flux qubit.Comment: 14 pages; misprints correcte
Solvable model of dissipative dynamics in the deep strong coupling regime
We describe the dynamics of a qubit interacting with a bosonic mode coupled
to a zero-temperature bath in the deep strong coupling (DSC) regime. We provide
an analytical solution for this open system dynamics in the off-resonance case
of the qubit-mode interaction. Collapses and revivals of parity chain
populations and the oscillatory behavior of the mean photon number are
predicted. At the same time, photon number wave packets, propagating back and
forth along parity chains, become incoherently mixed. Finally, we investigate
numerically the effect of detuning on the validity of the analytical solution.Comment: 6 pages, 8 figure
Steering of a Bosonic Mode with a Double Quantum Dot
We investigate the transport and coherence properties of a double quantum dot
coupled to a single damped boson mode. Our numerically results reveal how the
properties of the boson distribution can be steered by altering parameters of
the electronic system such as the energy difference between the dots.
Quadrature amplitude variances and the Wigner function are employed to
illustrate how the state of the boson mode can be controlled by a stationary
electron current through the dots.Comment: 10 pages, 6 figures, to appear in Phys. Rev.
Universal quantum gates based on a pair of orthogonal cyclic states: Application to NMR systems
We propose an experimentally feasible scheme to achieve quantum computation
based on a pair of orthogonal cyclic states. In this scheme, quantum gates can
be implemented based on the total phase accumulated in cyclic evolutions. In
particular, geometric quantum computation may be achieved by eliminating the
dynamic phase accumulated in the whole evolution. Therefore, both dynamic and
geometric operations for quantum computation are workable in the present
theory. Physical implementation of this set of gates is designed for NMR
systems. Also interestingly, we show that a set of universal geometric quantum
gates in NMR systems may be realized in one cycle by simply choosing specific
parameters of the external rotating magnetic fields. In addition, we
demonstrate explicitly a multiloop method to remove the dynamic phase in
geometric quantum gates. Our results may provide useful information for the
experimental implementation of quantum logical gates.Comment: 9 pages, language revised, the publication versio
Chaos and the Quantum Phase Transition in the Dicke Model
We investigate the quantum chaotic properties of the Dicke Hamiltonian; a
quantum-optical model which describes a single-mode bosonic field interacting
with an ensemble of two-level atoms. This model exhibits a zero-temperature
quantum phase transition in the N \go \infty limit, which we describe exactly
in an effective Hamiltonian approach. We then numerically investigate the
system at finite and, by analysing the level statistics, we demonstrate
that the system undergoes a transition from quasi-integrability to quantum
chaotic, and that this transition is caused by the precursors of the quantum
phase-transition. Our considerations of the wavefunction indicate that this is
connected with a delocalisation of the system and the emergence of macroscopic
coherence. We also derive a semi-classical Dicke model, which exhibits
analogues of all the important features of the quantum model, such as the phase
transition and the concurrent onset of chaos.Comment: 51 pages, 15 figures, late