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Spectral theory of Liouvillians for dissipative phase transitions
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 …
governed by a Liouvillian superoperator. Within a general framework, we explore …
Hybrid-Liouvillian formalism connecting exceptional points of non-Hermitian Hamiltonians and Liouvillians via postselection of quantum trajectories
Exceptional points (EPs) are degeneracies of classical and quantum open systems, which
are studied in many areas of physics including optics, optoelectronics, plasmonics, and …
are studied in many areas of physics including optics, optoelectronics, plasmonics, and …
Quantum critical regime in a quadratically driven nonlinear photonic lattice
We study an array of coupled optical cavities in the presence of two-photon driving and
dissipation. The system displays a critical behavior similar to that of a quantum Ising model …
dissipation. The system displays a critical behavior similar to that of a quantum Ising model …
Dissipative phase transitions in -photon driven quantum nonlinear resonators
We investigate and characterize the emergence of finite-component dissipative phase
transitions (DPTs) in nonlinear photon resonators subject to $ n $-photon driving and …
transitions (DPTs) in nonlinear photon resonators subject to $ n $-photon driving and …
Continuous dissipative phase transitions with or without symmetry breaking
The paradigm of second-order phase transitions (PTs) induced by spontaneous symmetry
breaking (SSB) in thermal and quantum systems is a pillar of modern physics that has been …
breaking (SSB) in thermal and quantum systems is a pillar of modern physics that has been …
Symmetries and conservation laws in quantum trajectories: Dissipative freezing
In driven-dissipative systems, the presence of a strong symmetry guarantees the existence
of several steady states belonging to different symmetry sectors. Here we show that when a …
of several steady states belonging to different symmetry sectors. Here we show that when a …
Parameter estimation from quantum-jump data using neural networks
We present an inference method utilizing artificial neural networks for parameter estimation
of a quantum probe monitored through a single continuous measurement. Unlike existing …
of a quantum probe monitored through a single continuous measurement. Unlike existing …
Spontaneous symmetry breaking in a quadratically driven nonlinear photonic lattice
V Savona - Physical Review A, 2017 - APS
We investigate the occurrence of a phase transition, characterized by the spontaneous
breaking of a discrete symmetry, in a driven-dissipative Bose-Hubbard lattice in the …
breaking of a discrete symmetry, in a driven-dissipative Bose-Hubbard lattice in the …
Liouvillian spectral collapse in the Scully-Lamb laser model
Phase transitions of thermal systems and the laser threshold were first connected more than
forty years ago. Despite the nonequilibrium nature of the laser, the Landau theory of thermal …
forty years ago. Despite the nonequilibrium nature of the laser, the Landau theory of thermal …
Steady-state quantum chaos in open quantum systems
We introduce the notion of steady-state quantum chaos as a general phenomenon in open
quantum many-body systems. Classifying an isolated or open quantum system as integrable …
quantum many-body systems. Classifying an isolated or open quantum system as integrable …