N-Level System Interacting with Single Radiation Mode and Multi Cat States of Schrodinger in the Strong Coupling Regime
arXiv:quant-ph/0210166
Abstract
In this paper we consider some (generalized) models which deal with n--level atom interacting with a single radiation mode and study a general structure of Rabi floppings of these generalized ones in the strong coupling regime. To solve these models we introduce multi cat states of Schr{\" o}dinger in our terminology and extend the result in (quant--ph/0203135) which Rabi frequencies are given by matrix elements of generalized coherent operators (quant--ph/0202081) under the rotating--wave approximation. Our work is a full generalization of Frasca (quant--ph/0111134) and Fujii (quant--ph/0203135). In last we make a brief comment on an application to Quantum Computation on the space of qudits.
Latex file, 29 pages; new section (Unitary Operations in Quantum Computation) added and some references added
References in corpus (18)
- Security of quantum key distribution using d-level systems
- Multi-valued Logic Gates for Quantum Computation
- Non-Abelian Berry connections for quantum computation
- Quantum Holonomies for Quantum Computing
- Quantum key distribution for d-level systems with generalized Bell states
- Optical Holonomic Quantum Computer
- Renormalization-group Method for Reduction of Evolution Equations; invariant manifolds and envelopes
- Long-time-scale revivals in ion traps
- Coherent states, Path integral, and Semiclassical approximation
- Coherent states over Grassmann manifolds and the WKB-exactness in path integral
- Exchange Gate on the Qudit Space and Fock Space
- From Geometry to Quantum Computation
- Quantum harmonic oscillator state synthesis and analysis
- Rabi oscillations and macroscopic quantum superposition states
- Basic Properties of Coherent and Generalized Coherent Operators Revisited
- Jaynes-Cummings model without rotating wave approximation. Asymptotics of eigenvalues
- Matrix Elements of Generalized Coherent Operators
- Note on Extended Coherent Operators and Some Basic Properties
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- Two-Level System and Some Approximate Solutions in the Strong Coupling Regime
- How To Treat An N-Level System : A Proposal
- N Level System with RWA and Analytical Solutions Revisited
- A Generalized Hamiltonian Characterizing the Interaction of the Two-Level Atom and both the Single Radiation Mode and External Field
- Cavity QED and Quantum Computation in the Strong Coupling Regime II : Two Atoms Case