Spectral theory of Liouvillians for dissipative phase transitions
Year: 2018
Authors: Minganti F., Biella A., Bartolo N., Ciuti C.
Autors Affiliation: 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.
Journal/Review: PHYSICAL REVIEW A
Volume: 98 (4) Pages from: 42118-1 to: 42118-13
More Information: 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).KeyWords: Quantum Trajectories; Systems; Dynamics; DrivenDOI: 10.1103/PhysRevA.98.042118ImpactFactor: 2.907Citations: 227data from “WEB OF SCIENCE” (of Thomson Reuters) are update at: 2024-11-24References taken from IsiWeb of Knowledge: (subscribers only)
