The DOI matches its Crossref record; 76 of the 76 references it cites were found in a registry or an index.
Spectral theory of Liouvillians for dissipative phase transitions
Open accessAbstract
A state of an open quantum system is described by a density matrix, whose dynamics is governed by a Liouvillian superoperator. Within a general framework, we explore fundamental properties of both first-order dissipative phase transitions and second-order dissipative phase transitions associated with a symmetry breaking. In the critical region, we determine the general form of the steady-state density matrix and of the Liouvillian eigenmatrix whose eigenvalue defines the Liouvillian spectral gap. We illustrate our exact results by studying some paradigmatic quantum optical models exhibiting critical behavior.
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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
Mermin, N. D., & Wagner, H. (1966) · Physical Review Letters · doi:10.1103/physrevlett.17.1133 · Cited by 8,363
The Theory of Open Quantum Systems
Breuer, H.-P., & Petruccione, F. (2007) · doi:10.1093/acprof:oso/9780199213900.001.0001 · Cited by 5,938
Aspelmeyer, M., Kippenberg, T. J., & Marquardt, F. (2014) · Reviews of Modern Physics · doi:10.1103/revmodphys.86.1391 · Cited by 5,501
Sachdev, S. (2000) · Cambridge University Press eBooks · doi:10.1017/cbo9780511622540 · Cited by 3,408
Bose–Einstein condensation of exciton polaritons
Kasprzak, J., Richard, M., Kundermann, S., Baas, A., Jeambrun, P., Keeling, J. M. J., Marchetti, F. M., Szymańska, M. H., André, R., Staehli, J. L., et al. (2006) · Nature · doi:10.1038/nature05131 · Cited by 3,245
Perturbation theory for linear operators
Kato, T. (1966) · Springer eBooks · doi:10.1007/978-3-642-53393-8 · Cited by 2,611
Probing many-body dynamics on a 51-atom quantum simulator
Bernien, H., Schwartz, S., Keesling, A., Levine, H., Omran, A., Pichler, H., Choi, S., Zibrov, A. S., Endres, M., Greiner, M., et al. (2017) · Nature · doi:10.1038/nature24622 · Cited by 2,460
Carusotto, I., & Ciuti, C. (2013) · Reviews of Modern Physics · doi:10.1103/revmodphys.85.299 · Cited by 1,996
Self-citationHaroche, S., & Raimond, J.-M. (2006) · Oxford University Press eBooks · doi:10.1093/acprof:oso/9780198509141.001.0001 · Cited by 1,702
Cited by
Minganti, F., Miranowicz, A., Chhajlany, R. W., & Nori, F. (2019) · Physical Review A · doi:10.1103/physreva.100.062131 · Cited by 414
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Metadata
- Authors
- Minganti, F., Biella, A., Bartolo, N., & Ciuti, C.
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 2018-10-17
- Volume
- 98
- Issue
- 4
- ISSN
- 0556-2791 (ISSN-L)
- 2469-9926
- 2469-9934
- OpenAlex
- W2798928746
- Cited by
- 408
- References
- 76
- FWCI
- 12.85
- Type
- journal article
- Language
- en
- Open access
- green
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