Quantum information dynamics in a high-dimensional parity-time-symmetric system

Abstract

Non-Hermitian systems with parity-time ($\mathcal{P}\mathcal{T}$) symmetry give rise to exceptional points (EPs) with exceptional properties that arise due to the coalescence of eigenvectors. Such systems have been extensively explored in the classical domain, where second or higher order EPs have been proposed or realized. In contrast, quantum information studies of $\mathcal{P}\mathcal{T}$-symmetric systems have been confined to systems with a two-dimensional Hilbert space. Here by using a single-photon interferometry setup, we simulate quantum dynamics of a four-dimensional $\mathcal{P}\mathcal{T}$-symmetric system across a fourth-order exceptional point. By tracking the coherent, non-unitary evolution of the density matrix of the system in $\mathcal{P}\mathcal{T}$-symmetry unbroken and broken regions, we observe the entropy dynamics for both the entire system, and the gain and loss subsystems. Our setup is scalable to the higher-dimensional $\mathcal{P}\mathcal{T}$-symmetric systems, and our results point towards the rich dynamics and critical properties.

arXiv comment7 pages, 5 figures

References in corpus (30)

• Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry
• Nonreciprocal light transmission in parity-time-symmetric whispering-gallery microcavities
• Complex Extension of Quantum Mechanics
• Pseudo-Hermiticity versus PT Symmetry: The necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian
• The physics of exceptional points
• Universal Linear Optics
• Loss-induced suppression and revival of lasing
• Pseudo-Hermitian Representation of Quantum Mechanics
• Observation of non-Hermitian bulk-boundary correspondence in quantum dynamics
• Observation of parity-time symmetry breaking transitions in a dissipative Floquet system of ultracold atoms
• Reversing the Pump-Dependence of a Laser at an Exceptional Point
• Quantum exceptional points of non-Hermitian Hamiltonians and Liouvillians: The effects of quantum jumps
• Observation of parity-time symmetry breaking in a single spin system
• Quantum state tomography across the exceptional point in a single dissipative qubit
• A non-Hermitian $PT-$symmetric Bose-Hubbard model: eigenvalue rings from unfolding higher-order exceptional points
• Information Retrieval and Criticality in Parity-Time-Symmetric Systems
• Simulating dynamic quantum phase transitions in photonic quantum walks
• Detecting topological invariants in nonunitary discrete-time quantum walks
• Observation of critical phenomena in parity-time-symmetric quantum dynamics
• High-order exceptional points in optomechanics
• Hybrid-Liouvillian formalism connecting exceptional points of non-Hermitian Hamiltonians and Liouvillians via postselection of quantum trajectories
• Observation of PT-symmetric quantum interference
• Non-Hermitian Hamiltonians and no-go theorems in quantum information
• Observation of emergent momentum-time skyrmions in parity-time-symmetric non-unitary quench dynamics
• PT-symmetric photonic quantum systems with gain and loss do not exist
• Optical waveguide arrays: quantum effects and PT symmetry breaking
• Exceptional points of any order in a single, lossy, waveguide beamsplitter by photon-number-resolved detection
• Conserved quantities in parity-time symmetric systems
• Quantum state tomography of large nuclear spins in a semiconductor quantum well: Optimal robustness against errors as quantified by condition numbers
• Time-domain grating with a periodically driven qutrit

Cited by in corpus (13)

• Higher-order exceptional point in a pseudo-Hermitian cavity optomechanical system
• Higher-order exceptional point in a blue-detuned non-Hermitian cavity optomechanical system
• Maximal quantum entanglement at exceptional points via unitary and thermal dynamics
• Entanglement Dynamics in Anti-$\mathcal{P}\mathcal{T}$-Symmetric Systems
• Probing phase transitions in non-Hermitian systems with Multiple Quantum Coherences
• Floquet exceptional contours in Lindblad dynamics with time-periodic drive and dissipation
• Searching for exceptional points and inspecting non-contractivity of trace distance in (anti-)$\mathcal{P}\mathcal{T}-$symmetric systems
• Parity-time symmetric systems with memory
• Constraining work fluctuations of non-Hermitian dynamics across the exceptional point of a superconducting qubit
• Non-Hermiticity in quantum nonlinear optics through symplectic transformations
• Witnessing criticality in non-Hermitian systems via entropic uncertainty relation
• Necessary condition for information transfer under simulated parity-time-symmetric evolution
• Landau-Zener transitions through a pair of higher order exceptional points