Coherent population oscillations and an effective spin-exchange interaction in a $\mathcal{P}\mathcal{T}$ symmetric polariton mixture

Abstract

We study a two-species mixture of exciton-polaritons with self- and cross-interaction nonlinearities in a double well structure, in the presence of relaxation and continuous pumping. We identify the conditions that render the system parity-time ($\mathcal{P}\mathcal{T}$) symmetric, and investigate its dynamic and static properties. We show that the system can exhibit long-term coherent oscillations of populations of the two polaritonic components between the two potential wells, and can simulate the dynamics of a pair of spin-1/2 particles (qubits) in the presence of exchange interaction.

arXiv comment7 pages, 4 figures

References in corpus (39)

• Making Sense of Non-Hermitian Hamiltonians
• Nonreciprocal light transmission in parity-time-symmetric whispering-gallery microcavities
• Quantum fluids of light
• Complex Extension of Quantum Mechanics
• Direct Observation of Tunneling and Nonlinear Self-Trapping in a single Bosonic Josephson Junction
• PT-Symmetric Quantum Mechanics
• Unidirectional Nonlinear PT-symmetric Optical Structures
• Excitations in a non-equilibrium Bose-Einstein condensate of exciton-polaritons
• Observation of non-Hermitian degeneracies in a chaotic exciton-polariton billiard
• All-optical polariton transistor
• Room-temperature superfluidity in a polariton condensate
• Macroscopic quantum self-trapping and Josephson oscillations of exciton-polaritons
• Realizing the $XY$ Hamiltonian in polariton simulators
• Fidelity of quantum operations
• Coherent Oscillations in an Exciton-Polariton Josephson Junction
• Extension of PT-Symmetric Quantum Mechanics to Quantum Field Theory with Cubic Interaction
• Spatial and spectral shape of inhomogeneous non-equilibrium exciton-polariton condensates
• Exciton Polaritons in a Two-Dimensional Lieb Lattice with Spin-Orbit Coupling
• Fractional Bloch oscillations in photonic lattices
• Nonlinear modes in finite-dimensional PT-symmetric systems
• PT-Symmetric Oligomers: Analytical Solutions, Linear Stability and Nonlinear Dynamics
• Direct measurement of polariton-polariton interaction strength in the Thomas-Fermi regime of exciton-polariton condensation
• Spin order and phase transitions in chains of polariton condensates
• Polariton condensation in $S$- and $P$-flatbands in a two-dimensional Lieb lattice
• State transfer in static and dynamic spin chains with disorder
• Symmetry-Breaking and Symmetry-Restoring Dynamics of a Mixture of Bose-Einstein Condensates in a Double Well
• Second Thresholds in BEC-BCS-Laser Crossover of Exciton-Polariton Systems
• Permanent Rabi oscillations in coupled exciton-photon systems with PT-symmetry
• A Polariton Graph Simulator
• Networks of non-equilibrium condensates for global optimization
• Synchronization crossover of polariton condensates in weakly disordered lattices
• Linear and Nonlinear PT-symmetric Oligomers: A Dynamical Systems Analysis
• Observation of pair tunneling and coherent destruction of tunneling in arrays of optical waveguides
• Polaritonic Rabi and Josephson Oscillations
• Realization of Discrete Quantum Billiard in 2D Optical Lattices
• Multi-stability and condensation of exciton-polaritons below threshold
• Photonic lattice simulation of dissipation-induced correlations in bosonic systems
• Excited states of exciton-polariton condensates in 2D and 1D harmonic traps
• A Two-Kind-Boson Mixture Honeycomb Hamiltonian of Bloch Exciton-Polaritons

Cited by in corpus (4)

• Ultralong temporal coherence in optically trapped exciton-polariton condensates
• Entanglement Dynamics in Anti-$\mathcal{P}\mathcal{T}$-Symmetric Systems
• Self-organized PT-symmetry of exciton-polariton condensate in a double-well potential
• Pseudo-conservative dynamics of coupled polariton condensates