Theory of interactions between cavity photons induced by a mesoscopic circuit
arXiv:1910.07801 · doi:10.1103/PhysRevB.102.155105
Abstract
We use a quantum path integral approach to describe the behavior of a microwave cavity coupled to a dissipative mesoscopic circuit. We integrate out the mesoscopic electronic degrees of freedom to obtain a cavity effective action at fourth order in the light/matter coupling. By studying the structure of this action, we establish sufficient conditions in which the cavity dynamics can be described with a Lindblad equation. This equation depends on effective parameters set by electronic correlation functions. It reveals that the mesoscopic circuit induces an effective Kerr interaction and two-photon dissipative processes. We use our method to study the effective dynamics of a cavity coupled to a double quantum dot with normal metal reservoirs. If the cavity is driven at twice its frequency, the double dot circuit generates photonic squeezing and non-classicalities visible in the cavity Wigner function. In particular, we find a counterintuitive situation where mesoscopic dissipation enables the production of photonic Schrödinger cats. These effects can occur for realistic circuit parameters. Our method can be generalized straightforwardly to more complex circuit geometries with, for instance, multiple quantum dots, and other types of fermionic reservoirs such as superconductors and ferromagnets.
arXiv comment23 pages, 12 figures, submitted
References in corpus (76)
- Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
- Circuit Quantum Electrodynamics: Coherent Coupling of a Single Photon to a Cooper Pair Box
- Quantum-enhanced measurements: beating the standard quantum limit
- QuTiP: An open-source Python framework for the dynamics of open quantum systems
- Evidence of Majorana fermions in an Al - InAs nanowire topological superconductor
- Time-dependent transport in interacting and non-interacting mesoscopic systems
- Observation of Majorana Fermions in a Nb-InSb Nanowire-Nb Hybrid Quantum Device
- Exponential Protection of Zero Modes in Majorana Islands
- Superconductor-Nanowire Devices from Tunneling to the Multichannel Regime: Zero-Bias Oscillations and Magnetoconductance Crossover
- Dynamically protected cat-qubits: a new paradigm for universal quantum computation
- Observation of quantum state collapse and revival due to the single-photon Kerr effect
- Keldysh Field Theory for Driven Open Quantum Systems
- Confining the state of light to a quantum manifold by engineered two-photon loss
- Counting statistics of single-electron transport in a quantum dot
- The Kerr-Cat Qubit: Stabilization, Readout, and Gates
- A Coherent Spin-Photon Interface in Silicon
- Squeezed Optomechanics with Phase-matched Amplification and Dissipation
- Strong spin-photon coupling in silicon
- Dipole coupling of a double quantum dot to a microwave resonator
- Ballistic Majorana nanowire devices
- Engineering the quantum states of light in a Kerr-nonlinear resonator by two-photon driving
- Strong Coupling of a Single Electron in Silicon to a Microwave Photon
- High Kinetic Inductance Superconducting Nanowire Resonators for Circuit QED in a Magnetic Field
- Keldysh approach for non-equilibrium phase transitions in quantum optics: beyond the Dicke model in optical cavities
- Exponential suppression of bit-flips in a qubit encoded in an oscillator
- Coherent spin-qubit photon coupling
- Strong Coupling Cavity QED with Gate-Defined Double Quantum Dots Enabled by a High Impedance Resonator
- Coherent coupling of a single spin to microwave cavity photons
- Coupling a quantum dot, fermionic leads and a microwave cavity on-chip
- Quantum state tomography of an itinerant squeezed microwave field
- Bias-preserving gates with stabilized cat qubits
- Spin-orbit splitting of Andreev states revealed by microwave spectroscopy
- Coherent oscillations inside a quantum manifold stabilized by dissipation
- Dynamic response of isolated Aharonov-Bohm rings coupled to an electromagnetic resonator
- Semiconductor double quantum dot micromaser
- Numerical Renormalization Group Study of the Anderson-Holstein Impurity Model
- Input-output theory for spin-photon coupling in Si double quantum dots
- Out of equilibrium charge dynamics in a hybrid cQED architecture
- Mesoscopic admittance of a double quantum dot
- Resonantly Tunable Majorana Polariton in a Microwave Cavity
- Single-photon Resolved Cross-Kerr Interaction for Autonomous Stabilization of Photon-number States
- Microwave Emission from Hybridized States in a Semiconductor Charge Qubit
- Cavity QED with hybrid nanocircuits: from atomic-like physics to condensed matter phenomena
- Lasing and transport in a quantum dot-resonator circuit
- Steady-state entanglement of spatially separated qubits via quantum bath engineering
- Strong coupling between an electron in a quantum dot circuit and a photon in a cavity
- Cavity-coupled double-quantum dot at finite bias: analogy with lasers and beyond
- Cavity quantum electrodynamics with mesoscopic topological superconductors
- Emission of non-classical radiation by inelastic Cooper pair tunneling
- Squeezing light with Majorana fermions
- Keldysh meets Lindblad: Correlated Gain and Loss in Higher-Order Perturbation Theory
- Dephasing-assisted Gain and Loss in Mesoscopic Quantum Systems
- Highly coherent spin states in carbon nanotubes coupled to cavity photons
- Subradiant split Cooper pairs
- Cavity photons as a probe for charge relaxation resistance and photon emission in a quantum dot coupled to normal and superconducting continua
- Majorana qubit rotations in microwave cavities
- Direct cavity detection of Majorana pairs
- Observation of the frozen charge of a Kondo resonance
- Tunable Hybrid Quantum Electrodynamics from Non-Linear Electron Transport
- Perfect squeezing by damping modulation in circuit quantum electrodynamics
- Observation of Squeezing in the Electron Quantum Shot Noise of a Tunnel Junction
- Quantum optics theory of electronic noise in coherent conductors
- Experimental Violation Of Bell-like Inequalities By Electronic Shot Noise
- Noise spectrum of a quantum dot-resonator lasing circuit
- Cavity squeezing by a quantum conductor
- Stabilization of nonclassical states of one- and two-mode radiation fields by reservoir engineering
- Nonsymmetrized noise in a quantum dot: Interpretation in terms of energy transfer and coherent superposition of scattering paths
- Cavity quantum electrodynamics with an out-of-equilibrium quantum dot
- Single atom laser in normal-superconductor quantum dots
- Electron-photon interaction in a quantum point contact coupled to a microwave resonator
- Probing coherent Cooper pair splitting with cavity photons
- Single-photon pump by Cooper-pair splitting
- Lasing and transport in a coupled quantum dot-resonator system
- Charge susceptibility and conductances of a double quantum dot
- Electron-photon coupling in Mesoscopic Quantum Electrodynamics
- Continuous Generation and Stabilization of Mesoscopic Field Superposition States in a Quantum Circuit
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