Phase transitions and dark-state physics in two-color superradiance

Abstract

We theoretically study an extension of the Dicke model, where the single-particle Hamiltonian has three energy levels in Lambda-configuration, i.e. the excited state is coupled to two non-degenerate ground states via two independent quantized light fields. The corresponding many-body Hamiltonian can be diagonalized in the thermodynamic limit with the help of a generalized Holstein--Primakoff transformation. Analyzing the ground-state energy and the excitation energies, we identify one normal and two superradiant phases, separated by phase transitions of both first and second order. A phase with both superradiant states coexisting is not stable. In addition, in the limit of two degenerate ground states a dark state emerges, which seems to be analogous to the dark state appearing in the well known stimulated Raman adiabatic passage scheme.

9 pages, 6 figures

References in corpus (2)

• Is there a no-go theorem for superradiant quantum phase transitions in cavity and circuit QED ?
• Superradiant Phase Transitions and the Standard Description of Circuit QED

Cited by in corpus (39)

• Supersolid formation in a quantum gas breaking continuous translational symmetry
• Observation of Dicke Superradiance for Two Artificial Atoms in a Cavity with High Decay Rate
• Open quantum systems with local and collective incoherent processes: Efficient numerical simulation using permutational invariance
• Monitoring and manipulating Higgs and Goldstone modes in a supersolid quantum gas
• Excited-State Quantum Phase Transitions in Dicke Superradiance Models
• Three-level Dicke quantum battery
• Superradiant phase transitions with three-level systems
• Comment on "Superradiant Phase Transitions and the Standard Description of Circuit QED"
• Dissipation-engineered family of nearly dark states in many-body cavity-atom systems
• Parametrically driven-dissipative three-level Dicke model
• Dissipation-induced bistability in the two-photon Dicke model
• AC-driven Quantum Phase Transition in the Lipkin-Meshkov-Glick Model
• Superradiant phase transition in a model of three-level-lambda systems interacting with two bosonic modes
• Polychromatic phase diagram for $n$-level atoms interacting with $\ell$ modes of electromagnetic field
• Dissipative Two-Mode Tavis-Cummings Model with Time-Delayed Feedback Control
• Quantum phase transitions of three-level atoms interacting with a one-mode electromagnetic field
• A non-perturbative no-go theorem for photon condensation in approximate models
• First-order photon condensation in magnetic cavities: A two-leg ladder model
• A semi-classical versus quantum description of the ground state of three-level atoms interacting with a one-mode electromagnetic field
• Performance boost of a collective qutrit refrigerator
• PsiQuaSP -- A library for efficient computation of symmetric open quantum systems
• Crafting the dynamical structure of synchronization by harnessing bosonic multilevel cavity QED
• Thermodynamics and Superradiant Phase Transitions in a three-level Dicke Model
• Condensate formation in a dark state of a driven atom-cavity system
• Interplay of quantum phase transition and flat band in hybrid lattices
• Variational Study of $\lambda$- and $N$-Atomic Configurations Interacting with an Electromagnetic Field of $2$ Modes
• Critical quasienergy states in driven many-body systems
• Symmetry Adapted Coherent States for Three-Level Atoms Interacting with One-Mode Radiation
• Tricritical Dicke model with and without dissipation
• Quantum phase transitions in networks of Lipkin-Meshkov-Glick models
• Quantum phase transitions and critical behaviors in the two-mode three-level quantum Rabi model
• Quantum phases of a three-level matter-radiation interaction model using $SU(3)$ coherent states with different cooperation numbers
• The atomic damping basis and the collective decay of interacting two-level atoms
• Exploring global symmetry-breaking superradiant phase via phase competition
• Phase space theory for open quantum systems with local and collective dissipative processes
• Dimensional crossover in self-organised super-radiant phases of ultra cold atoms inside a cavity
• Single-Bubble Sonoluminescence as Dicke Superradiance at Finite Temperature
• Entropy of entanglement between quantum phases of a three-level matter-radiation interaction model
• Semiclassical bifurcations and topological phase transitions in a one-dimensional lattice of coupled Lipkin-Meshkov-Glick models