Spectral theory of Liouvillians for dissipative phase transitions

Anno: 2018

Autori: Minganti F., Biella A., Bartolo N., Ciuti C.

Affiliazione autori: Univ Paris Diderot, Lab Mat & Phenomenes Quant, CNRS UMR7162, F-75013 Paris, France.

Abstract: 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.

Giornale/Rivista: PHYSICAL REVIEW A

Volume: 98 (4)      Da Pagina: 42118-1  A: 42118-13

Maggiori informazioni: We acknowledge discussions with V. Albert, G. Orso, D. Rossini, R. Rota, and M. Vogel. We acknowledge support from ERC (via Consolidator Grant CORPHO No. 616233) and ANR (via the grant UNIQ ANR-16-CE24-0029).
Parole chiavi: Quantum Trajectories; Systems; Dynamics; Driven
DOI: 10.1103/PhysRevA.98.042118

Citazioni: 256
dati da “WEB OF SCIENCE” (of Thomson Reuters) aggiornati al: 2025-05-18
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