Analytic approach to dynamics of the resonant and off-resonant Jaynes-Cummings systems with cavity losses
نویسندگان
چکیده
A new analytic approach to investigate the zero-temperature time evolution of Jaynes-Cummings system with cavity losses is developed. With realistic coupling between and environment assumed, a simple master equation derived, leading explicit solution for resonant case. This suitable analyses not only on single excitation states but also many states, which enables us photon coherent state observe sharp collapses revivals under dissipation. For off-resonant case, other hand, present study presents an analytic, systematic method instead. We examine small large detuning limits discuss condition where widely-used phenomenological treatment justified. Explicit evaluations evolutions various initial finite are presented.
منابع مشابه
Analytic Solution of Non-resonant Multiphoton Jaynes-Cummings Model with Dissipation at Finite Temperature
We derive a new master equation with and without Markovian approximation for the reduced density operator of a quantum system. We study a multiphoton Jaynes-Cummings model (JCM) with the dissipation at a finite temperature by making use of the new master equation under Markovian approximation. We present an exact solution of a non-resonant multiphoton JCM with the dissipstion by the use of the ...
متن کاملSupersymmetric and Shape-Invariant Generalization for Non-resonant Jaynes-Cummings Systems
A class of shape-invariant bound-state problems which represent transitions in a two-level system introduced earlier are generalized to include arbitrary energy splittings between the two levels. We show that the coupled-channel Hamiltonians obtained correspond to the generalization of the non-resonant Jaynes-Cummings Hamiltonian, widely used in quantized theories of laser. In this general cont...
متن کاملGeneralized Jaynes-Cummings Model with Intensity-Dependent and Non-resonant Coupling
We study the intensity-dependent and nonresonant Jaynes-Cummings Hamil-tonian when the field is described by an arbitrary shape-invariant system. We determine the eigenstates, eigenvalues, time evolution matrix and the population inversion matrix factor.
متن کاملSemiclassical Dynamics of the Jaynes-Cummings Model
The semiclassical approximation of coherent state path integrals is employed to study the dynamics of the Jaynes-Cummings model. Decomposing the Hilbert space into subspaces of given excitation quanta above the ground state, the semiclassical propagator is shown to describe the exact quantum dynamics of the model. We also present a semiclassical approximation that does not exploit the special p...
متن کاملCavity losses for the dissipative Jaynes-Cummings Hamiltonian beyond Rotating Wave Approximation
Abstract. A microscopic derivation of the master equation for the Jaynes-Cummings model with cavity losses is given, taking into account the terms in the dissipator which vary with frequencies of the order of the vacuum Rabi frequency. Our approach allows to single out physical contexts wherein the usual phenomenological dissipator turns out to be fully justified and constitutes an extension of...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical review
سال: 2021
ISSN: ['0556-2813', '1538-4497', '1089-490X']
DOI: https://doi.org/10.1103/physreva.103.053713