Bimodal phase transition in a periodically modulated $\Lambda$-type three-level system

Abstract

We present a theoretical investigation of dynamical quantum phase transitions (QPTs) in a periodically driven $\Lambda$-type three-level system (3LS) embedded in a double-mode cavity, described by a three-level Jaynes-Cumming (3L-JC) Hamiltonian. To begin with, we probe the undriven static Hamiltonian in the dressed-state basis to identify and define distinct coupling regimes and critical points associated with both cavity modes. Furthermore, to investigate the dynamical QPTs in this system, we incorporate a periodic modulation across two atomic states (denoted by $|3{⟩}_{at}$ and $|2{⟩}_{at}$) out of the three available energy levels. By performing necessary transformations and approximations, we reduce the overall Hamiltonian, which contains static and dynamic modulation terms, into an effective 3L-JC Hamiltonian whose system parameters are dependent on the driving parameters. The validity of our approximations is verified using the Loschmidt echo of time-evolved states corresponding to Hamiltonians before and after the approximations. Finally, we demonstrate that by tuning the modulation parameters, it is possible to explore bimodal superradiant phases in a three-level $\Lambda$-type system while remaining within the critical coupling limits of the static Hamiltonian. Our results provide an insight into the manipulation of quantum phases in a three-level system within an effective extended Jaynes-Cummings regime.

References in corpus (45)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Dark-State Polaritons in Electromagnetically Induced Transparency
• Quantum Phase Transition and Universal Dynamics in the Rabi model
• Quantum phases from competing short- and long-range interactions in an optical lattice
• Qubit-oscillator systems in the ultrastrong-coupling regime and their potential for preparing nonclassical states
• Is there a no-go theorem for superradiant quantum phase transitions in cavity and circuit QED ?
• Critical Quantum metrology with a finite-component quantum phase transition
• Realization of the Dicke model using cavity-assisted Raman transitions
• Loschmidt Echo
• Dynamic framework for criticality-enhanced quantum sensing
• Superradiance transition in a system with a single qubit and a single oscillator
• Demonstration of quantum entanglement between a single electron spin confined to an InAs quantum dot and a photon
• Quantum Phase Transition in the Finite Jaynes-Cummings Lattice Systems
• Topological Maxwell Metal Bands in a Superconducting Qutrit
• Probing the Dynamics of Superradiant Quantum Phase Transition in a Single Trapped-Ion
• Quenches and dynamical phase transitions in a non-integrable quantum Ising model
• Critical parametric quantum sensing
• Quantum phase transition in the Dicke model with critical and non-critical entanglement
• Ultracold atoms in optical lattices
• Universal decoherence induced by an environmental quantum phase transition
• Metastability and avalanche dynamics in strongly-correlated gases with long-range interactions
• Quantum phases in circuit QED with a superconducting qubit array
• Three-level Dicke quantum battery
• Enhancement of photon blockade effect via quantum interference
• Loschmidt echo and dynamical fidelity in periodically driven quantum systems
• Manipulating counter-rotating interactions in the quantum Rabi model via qubit frequency modulation
• Phase Transition in the periodically pulsed Dicke Model
• Demonstration of a parity-time symmetry breaking phase transition using superconducting and trapped-ion qutrits
• Criticality-Enhanced Quantum Sensing in the Anisotropic Quantum Rabi Model
• Critical Theory for the Breakdown of Photon Blockade
• Quantum phase transition of the Jaynes-Cummings model
• Mean-field phase diagram of ultracold atomic gases in cavity quantum electrodynamics
• Collective dynamics of the unbalanced three-level Dicke model
• Nonperturbative cavity quantum electrodynamics: is the Jaynes-Cummings model still relevant?
• Sudden change of the photon output field marks phase transitions in the quantum Rabi model
• Bloch space structure, the qutrit wave function and atom-field entanglement in three-level systems
• First-order superfluid-Mott-insulator transition for quantum optical switching in cavity QED arrays with two cavity modes
• Controlling the superradiant phase transition in the quantum Rabi model
• Quantumness and speedup limit of a qubit under transition frequency modulation
• Quantum phase transitions and critical behaviors in the two-mode three-level quantum Rabi model
• Effective two-level approximation of a multi-level system driven by coherent and incoherent fields
• Entanglement of a three-level atom interacting with two-modes field in a cavity
• Mott insulator-superfluid phase transition in a detuned multi-connected Jaynes-Cummings lattice
• Thermal conductance at the superradiant phase transition in the quantum Rabi model
• Geometry, quantum correlations, and phase transitions in the $\Lambda$-atomic configuration