A N F Aleixo et al 2001 J. Phys. A: Math. Gen. 34 1109 doi:10.1088/0305-4470/34/6/304
Supersymmetric and shape-invariant generalization for nonresonant and intensity-dependent Jaynes-Cummings systems
A N F Aleixo1,4, A B Balantekin2,5 and M A Cândido Ribeiro3
Show affiliationsA 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 as well as intensity-dependent interactions. We show that the coupled-channel Hamiltonians obtained correspond to the generalizations of the nonresonant and intensity-dependent Jaynes-Cummings Hamiltonians, widely used in quantized theories of lasers. In this general context, we determine the eigenstates, eigenvalues, the time evolution matrix and the population inversion matrix factor.
- PACS
-
03.65.Ge Solutions of wave equations: bound states
- MSC
- Subjects
-
Quantum gases, liquids and solids
Optics, quantum optics and lasers
Particle physics and field theory
- Dates
-
Issue 6 (16 February 2001)
Received 17 May 2000, in final form 2 August 2000
-
Supersymmetric and shape-invariant generalization for nonresonant and intensity-dependent Jaynes-Cummings systems
A N F Aleixo et al 2001 J. Phys. A: Math. Gen. 34 1109
-
Electrical conductivity characteristics of ferric metavanadate
K Tennakone and W G D Dharmaratna 1983 J. Phys. D: Appl. Phys. 16 855
-
Hydrodynamic interactions between widely separated particles at a free surface
B. Cichocki et al 2004 Europhys. Lett. 67 383
-
A discrete time presentation of quantum dynamics
G Date 2003 Class. Quantum Grav. 20 303
-
Practical methods in ab initio lattice dynamics
G J Ackland et al 1997 J. Phys.: Condens. Matter 9 7861
-
Gowdy phenomenology in scale-invariant variables
Lars Andersson et al 2004 Class. Quantum Grav. 21 S29
-
Coincidence analysis in gravitational wave experiments
Pia Astone et al 2002 Class. Quantum Grav. 19 1443
-
A numerical matrix technique for solving integral-transform equations
John W Norbury 1989 Eur. J. Phys. 10 237
-
Er3+:Yb3+ doped fibre with embedded FBG for simultaneous measurement of temperature and longitudinal strain
Steven Trpkovski et al 2005 Meas. Sci. Technol. 16 488
-
Transverse optic modes in monoclinic
A B Kuz'menko et al 1996 J. Phys.: Condens. Matter 8 6199
Related review articles
What's this?- Integrable structure of box–ball systems: crystal, Bethe ansatz, ultradiscretization and tropical geometry
- Spectral problems in open quantum chaos
- Lectures on localization and matrix models in supersymmetric Chern–Simons-matter theories
super-Yang–Mills*