The DOI matches its Crossref record; 16 of the 16 references it cites were found in a registry or an index.
Equilibrium Statistical Mechanics of Matter Interacting with the Quantized Radiation Field
Abstract
The thermodynamic properties of several systems of multilevel atoms interacting with a quantized radiation field are investigated. We allow a quantum-mechanical treatment of the translational degrees of freedom and do not require the rotating-wave approximation. In the finite-photon-mode case one can calculate the free energy per atom in the thermodynamic limit exactly and rigorously. In the infinite-mode case we only get upper and lower bounds, but these are sufficient to give conditions for thermodynamic stability and instability. The kind of phase transition previously found by us for the one-mode Dicke model with the rotating-wave approximation persists in the general multimode case.
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Cites
Perturbation Theory for Linear Operators
Kato, T. (1995) · Classics in Mathematics · doi:10.1007/978-3-642-66282-9 · Cited by 16,290
Methods of Modern Mathematical Physics
(1972) · Elsevier eBooks · doi:10.1016/b978-0-12-585001-8.x5001-6 · Cited by 8,883
Perturbation theory for linear operators
Kato, T. (1966) · Springer eBooks · doi:10.1007/978-3-662-12678-3 · Cited by 7,131
Lamb, W. E. (1964) · Physical Review · doi:10.1103/physrev.134.a1429 · Cited by 1,718
Atomic Coherent States in Quantum Optics
Arecchi, F. T., Courtens, E., Gilmore, R., & Thomas, H. (1972) · Physical Review A · doi:10.1103/physreva.6.2211 · Cited by 1,490
Hepp, K., & Lieb, E. H. (1973) · Annals of Physics · doi:10.1016/0003-4916(73)90039-0 · Cited by 1,050
Self-citationSome properties of coherent spin states
Radcliffe, J. M. (1971) · Journal of Physics A: General Physics · doi:10.1088/0305-4470/4/3/009 · Cited by 924
Phase Transition in the Dicke Model of Superradiance
Wang, Y. K., & Hioe, F. T. (1973) · Physical Review A · doi:10.1103/physreva.7.831 · Cited by 744
The classical limit of quantum spin systems
Lieb, E. H. (1973) · Communications in Mathematical Physics · doi:10.1007/bf01646493 · Cited by 476
Self-citationThe free energy of a macroscopic system
Fisher, M. E. (1964) · Archive for Rational Mechanics and Analysis · doi:10.1007/bf00250473 · Cited by 323
Cited by
Zanardi, P., & Rasetti, M. (1997) · Physical Review Letters · doi:10.1103/physrevlett.79.3306 · Cited by 1,315
Kinetic equations from Hamiltonian dynamics: Markovian limits
Spohn, H. (1980) · Reviews of Modern Physics · doi:10.1103/revmodphys.52.569 · Cited by 1,013
Coherent and collective quantum optical effects in mesoscopic systems
Brandes, T. (2005) · Physics Reports · doi:10.1016/j.physrep.2004.12.002 · Cited by 434
Cavity QED with quantum gases: new paradigms in many-body physics
Mivehvar, F., Piazza, F., Donner, T., & Ritsch, H. (2021) · Advances in Physics · doi:10.1080/00018732.2021.1969727 · Cited by 336
Metadata
- Authors
- Hepp, K., & Lieb, E. H.
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 1973-11-01
- Volume
- 8
- Issue
- 5
- Pages
- 2517-2525
- ISSN
- 0556-2791 (ISSN-L)
- OpenAlex
- W1965217088
- Cited by
- 381
- References
- 16
- FWCI
- 6.57
- Type
- journal article
- Language
- en
- Open access
- closed
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