Simulation methods for open quantum many-body systems
Coupling a quantum many-body system to an external environment dramatically changes its
dynamics and offers novel possibilities not found in closed systems. Of special interest are …
dynamics and offers novel possibilities not found in closed systems. Of special interest are …
Quantum simulations and many-body physics with light
In this review we discuss the works in the area of quantum simulation and many-body
physics with light, from the early proposals on equilibrium models to the more recent works …
physics with light, from the early proposals on equilibrium models to the more recent works …
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 …
Algebraic theory of quantum synchronization and limit cycles under dissipation
Synchronization is a phenomenon where interacting particles lock their motion and display
non-trivial dynamics. Despite intense efforts studying synchronization in systems without …
non-trivial dynamics. Despite intense efforts studying synchronization in systems without …
Probing a dissipative phase transition via dynamical optical hysteresis
We experimentally explore the dynamical optical hysteresis of a semiconductor microcavity
as a function of the sweep time. The hysteresis area exhibits a double power law decay due …
as a function of the sweep time. The hysteresis area exhibits a double power law decay due …
Signatures of a dissipative phase transition in photon correlation measurements
Understanding and characterizing phase transitions in driven-dissipative systems
constitutes a new frontier for many-body physics,,,,,,–. A generic feature of dissipative phase …
constitutes a new frontier for many-body physics,,,,,,–. A generic feature of dissipative phase …
Critical dynamical properties of a first-order dissipative phase transition
We theoretically investigate the critical properties of a single driven-dissipative nonlinear
photon mode. In a well-defined thermodynamical limit of large excitation numbers, the exact …
photon mode. In a well-defined thermodynamical limit of large excitation numbers, the exact …
A simple tensor network algorithm for two-dimensional steady states
Understanding dissipation in 2D quantum many-body systems is an open challenge which
has proven remarkably difficult. Here we show how numerical simulations for this problem …
has proven remarkably difficult. Here we show how numerical simulations for this problem …
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 time crystal in an asymmetric nonlinear photonic dimer
We investigate the behavior of two coupled nonlinear photonic cavities, in the presence of
inhomogeneous coherent driving and local dissipations. By solving numerically the quantum …
inhomogeneous coherent driving and local dissipations. By solving numerically the quantum …