Emergent $\mathcal{P}\mathcal{T}$ symmetry in a double-quantum-dot circuit QED set-up

Abstract

Open classical and quantum systems with effective parity-time ($\mathcal{P}\mathcal{T}$) symmetry, over the past five years, have shown tremendous promise for advances in lasers, sensing, and non-reciprocal devices. And yet, how such effective $\mathcal{P}\mathcal{T}$-symmetric non-Hermitian models emerge out of Hermitian quantum mechanics is not well understood. Here, starting from a fully Hermitian microscopic Hamiltonian description, we show that a non-Hermitian Hamiltonian emerges naturally in a double-quantum-dot-circuit-QED (DQD-circuit QED) set-up, which can be controllably tuned to the $\mathcal{P}\mathcal{T}$-symmetric point. This effective Hamiltonian governs the dynamics of two coupled circuit-QED cavities with a voltage-biased DQD in one of them. Our analysis also reveals the effect of quantum fluctuations on the $\mathcal{P}\mathcal{T}$ symmetric system. The $\mathcal{P}\mathcal{T}$-transition is, then, observed both in the dynamics of cavity observables as well as via an input-output experiment. As a simple application of the $\mathcal{P}\mathcal{T}$-transition in this set-up, we show that loss-induced enhancement of amplification and lasing can be observed in the coupled cavities. By comparing our results with two conventional local Lindblad equations, we demonstrate the utility and limitations of the latter. Our results pave the way for an on-chip realization of a potentially scalable non-Hermitian system with a gain medium in quantum regime, as well as its potential applications for quantum technology.

References in corpus (92)

• Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry
• Nonreciprocal light transmission in parity-time-symmetric whispering-gallery microcavities
• Pseudo-Hermiticity versus PT Symmetry: The necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian
• Topological phases of non-Hermitian systems
• Symmetry and Topology in Non-Hermitian Physics
• Nonlinear waves in $\mathcal{P}\mathcal{T}$-symmetric systems
• Loss-induced suppression and revival of lasing
• Topological energy transfer in an optomechanical system with exceptional points
• Pseudo-Hermitian Representation of Quantum Mechanics
• Experimental Study of Active LRC Circuits with PT-Symmetries
• Spawning rings of exceptional points out of Dirac cones
• 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
• Topological phase transition in non-Hermitian quasicrystals
• Nonreciprocity and Unidirectional Invisibility in Cavity Magnonics
• Coherent and Collective Quantum Optical Effects in Mesoscopic Systems
• Observation of parity-time symmetry breaking in a single spin system
• Quantum state tomography across the exceptional point in a single dissipative qubit
• Non-Hermitian Quantum Sensing: Fundamental Limits and Non-Reciprocal Approaches
• Dipole coupling of a double quantum dot to a microwave resonator
• Observation of PT phase transition in a simple mechanical system
• Observation of a dissipative phase transition in a one-dimensional circuit QED lattice
• Circuit QED lattices: towards quantum simulation with superconducting circuits
• Non-Hermitian Many-Body Localization
• Scalable gate architecture for densely packed semiconductor spin qubits
• Quantum Noise Theory of Exceptional Point Sensors
• Markovian master equations for quantum thermal machines: local vs global approach
• Mesoscopic Cavity Quantum Electrodynamics with Quantum Dots
• Theory of Non-Hermitian Fermionic Superfluidity with a Complex-Valued Interaction
• Simultaneous Observation of Topological Edge State and Exceptional Point in an Open and Non-Hermitian System
• Tunable non-reciprocal quantum transport through a dissipative Aharonov-Bohm ring in ultracold atoms
• Dynamic quantum Kerr effect in circuit quantum electrodynamics
• Controlled catch and release of microwave photon states
• Coupling a quantum dot, fermionic leads and a microwave cavity on-chip
• Superconductor-semiconductor hybrid cavity quantum electrodynamics
• Observation of critical phenomena in parity-time-symmetric quantum dynamics
• Experimental observation of exceptional surface in synthetic dimensions with magnon polaritons
• Dynamically encircling exceptional points: in situ control of encircling loops and the role of the starting point
• Synthetic parity-time symmetry breaking in a single microcavity
• Observation of PT-symmetric quantum interference
• Gain and loss induced topological insulating phase in a non Hermitian electrical circuit
• Perspective on topological states of non-Hermitian lattices
• Semiconductor double quantum dot micromaser
• Photon Emission from a Cavity-Coupled Double Quantum Dot
• Experimental demonstration of an anisotropic exceptional point
• Out of equilibrium open quantum systems: a comparison of approximate Quantum Master Equation approaches with exact results
• Observation of anti-PT symmetry phase transition in the magnon-cavity-magnon coupled system
• Non-additive dissipation in open quantum networks out of equilibrium
• $\mathcal{P}\mathcal{T}$-symmetric circuit-QED
• Topological invariants in dissipative extensions of the Su-Schrieffer-Heeger model
• Quantum sensing with a single-qubit pseudo-Hermitian system
• PT-symmetric photonic quantum systems with gain and loss do not exist
• PT-symmetry breaking in the steady state of microscopic gain-loss systems
• Optical waveguide arrays: quantum effects and PT symmetry breaking
• Tunable phonon induced steady state coherence in a double quantum dot
• $\mathcal{P}\mathcal{T}$-breaking threshold in spatially asymmetric Aubry-Andre Harper models: hidden symmetry and topological states
• Quantized conductance through a dissipative atomic point contact
• Microwave Emission from Hybridized States in a Semiconductor Charge Qubit
• Lasing and transport in a quantum dot-resonator circuit
• All-Microwave Control and Dispersive Readout of Gate-Defined Quantum Dot Qubits in Circuit Quantum Electrodynamics
• Storage and on-demand release of microwaves using superconducting resonators with tunable coupling
• Tunable and Switchable Coupling Between Two Superconducting Resonators
• Quantum correlations near the exceptional point
• Quantum master equation with balanced gain and loss
• Single-artificial-atom lasing using a voltage-biased superconducting charge qubit
• Charge Number Dependence of the Dephasing Rates of a Graphene Double Quantum Dot in a Circuit QED Architecture
• Optimized heat transfer at exceptional points in quantum circuits
• Cavity-coupled double-quantum dot at finite bias: analogy with lasers and beyond
• Phonon-Assisted Gain in a Semiconductor Double Quantum Dot Maser
• Probing confined phonon modes by transport through a nanowire double quantum dot
• PT-restoration via increased loss-gain in PT-symmetric Aubry-Andre model
• Environmentally-induced exceptional points in elastodynamics
• Microwave detection of electron-phonon interactions in a cavity-coupled double quantum dot
• Non-equilibrium magnetic phases in spin lattices with gain and loss
• Observation of slowly decaying eigenmodes without exceptional points in Floquet, dissipative, synthetic circuits
• Double Quantum Dot Floquet Gain Medium
• $\mathcal{P}\mathcal{T}$-symmetry from Lindblad dynamics in an optomechanical system
• Edge states, corner states, and flat bands in a two-dimensional $\mathcal{P}\mathcal{T}$ symmetric system
• Photon statistics of a double quantum dot micromaser: Quantum treatment
• Acoustic Multifunctional Logic Gates and Amplifier based on Passive Parity-Time Symmetry
• Tunable waveguide lattices with non-uniform parity-symmetric tunneling
• Dynamics, disorder effects, and PT-symmetry breaking in waveguide lattices with localized eigenstates
• Microwave cavity detected spin blockade in a few electron double quantum dot
• Quantum statistical signature of $\mathcal{P}\mathcal{T}$ symmetry breaking
• Probing electron-phonon interactions in the charge-photon dynamics of cavity-coupled double quantum dots
• Non-Hermitian impurities in Dirac systems
• Towards hybrid circuit quantum electrodynamics with quantum dots
• Giant photon gain in large-scale quantum dot circuit-QED systems
• Veiled symmetry of disordered Parity-Time lattices: protected PT-threshold and the fate of localization
• Active energy transport and the role of symmetry breaking in microscopic power grid
• On-Chip Quantum Dot Light Source for Quantum State Readout
• Power-law scaling of asymmetries in viscous flow with PT-symmetric inflow and outflow

Cited by in corpus (17)

• Non-Hermitian physics and master equations
• Observation of quantum strong Mpemba effect
• Signatures of Liouvillian exceptional points in a quantum thermal machine
• Generating high-order quantum exceptional points in synthetic dimensions
• $\mathcal{P}\mathcal{T}$ phase transition in open quantum systems with Lindblad dynamics
• Bridging the gap between topological non-Hermitian physics and open quantum systems
• Lyapunov equation in open quantum systems and non-Hermitian physics
• Universal subdiffusive behavior at band edges from transfer matrix exceptional points
• Conserved quantities, exceptional points, and antilinear symmetries in non-Hermitian systems
• Exceptional points in oligomer chains
• On-demand Parity-Time symmetry in a lone oscillator through complex, synthetic gauge fields
• The effect of thermal photons on exceptional points in coupled resonators
• Dynamics of a quantum system interacting with white non-Gaussian baths: Poisson noise master equation
• Anomalous spontaneous emission dynamics at chiral exceptional points
• Quantum correlations in dissipative gain-loss systems across exceptional points
• Improved coherence time of a non-Hermitian qubit in a $\mathcal{P}\mathcal{T}$-symmetric Environment
• Witnessing criticality in non-Hermitian systems via entropic uncertainty relation