Transport of pseudothermal photons through an anharmonic cavity

Abstract

Under nonequilibrium conditions, quantum optical systems reveal unusual properties that might be distinct from those in condensed matter. The fundamental reason is that photonic eigenstates can have arbitrary occupation numbers, whereas in electronic systems these are limited by the Pauli principle. Here, we address the steady-state transport of pseudothermal photons between two waveguides connected through a cavity with Bose-Hubbard interaction between photons. One of the waveguides is subjected to a broadband incoherent pumping. We predict a continuous transition between the regimes of Lorentzian and Gaussian chaotic light emitted by the cavity. The rich variety of nonequilibrium transport regimes is revealed by the zero-frequency noise. There are three limiting cases, in which the noise-current relation is characterized by a power-law, $S\propto J^{\gamma }$. The Lorentzian light corresponds to Breit-Wigner-like transmission and $\gamma =2$. The Gaussian regime corresponds to many-body transport with the shot noise ($\gamma =1$) at large currents; at low currents, however, we find an unconventional exponent $\gamma =3/2$ indicating a nontrivial interplay between multi-photon transitions and incoherent pumping. The nonperturbative solution for photon dephasing is obtained in the framework of the Keldysh field theory and Caldeira-Leggett effective action. These findings might be relevant for experiments on photon blockade in superconducting qubits, thermal states transfer, and photon statistics probing.

arXiv comment16 pages, 5 figures, 1 table. Version accepted in Scientific Reports

References in corpus (45)

• Shot Noise in Mesoscopic Conductors
• Circuit Quantum Electrodynamics
• Time-dependent transport in interacting and non-interacting mesoscopic systems
• The Dicke Quantum Phase Transition with a Superfluid Gas in an Optical Cavity
• Ultrastrong coupling between light and matter
• Theory of Photon Blockade by an Optical Cavity with One Trapped Atom
• Opportunities for mesoscopics in thermometry and refrigeration: Physics and applications
• Single photons from coupled quantum modes
• On the origin of strong photon antibunching in weakly nonlinear photonic molecules
• Qubit-photon interactions in a cavity: Measurement induced dephasing and number splitting
• Observation of Resonant Photon Blockade at Microwave Frequencies using Correlation Function Measurements
• Hybrid quantum circuit with a superconducting qubit coupled to a spin ensemble
• Introduction to the Dicke model: from equilibrium to nonequilibrium, and vice versa
• Dispersive Photon Blockade in a Superconducting Circuit
• Dynamical Critical Phenomena in Driven-Dissipative Systems
• Keldysh approach for non-equilibrium phase transitions in quantum optics: beyond the Dicke model in optical cavities
• Tunable coupling in circuit quantum electrodynamics with a superconducting V-system
• Analog quantum simulation of the Rabi model in the ultra-strong coupling regime
• Nonequilibrium many-body steady states via Keldysh formalism
• Noise and decoherence in quantum two-level systems
• Implementation of a Quantum Metamaterial
• Verification of a many-ion simulator of the Dicke model through slow quenches across a phase transition
• Quantum Thermal Machine as a Thermometer
• Critical slowing down in driven-dissipative Bose-Hubbard lattices
• Probing the strongly driven spin-boson model in a superconducting quantum circuit
• Dicke Quantum Spin and Photon Glass in Optical Cavities: Non-equilibrium theory and experimental signatures
• Hanbury-Brown Twiss correlations to probe the population statistics of GHz photons emitted by conductors
• Emission of non-classical radiation by inelastic Cooper pair tunneling
• Photon transport in a dissipative chain of nonlinear cavities
• Photon Statistics of Propagating Thermal Microwaves
• Quantum Logic between Remote Quantum Registers
• Tunable Microwave Single-photon Source Based on Transmon Qubit with High Efficiency
• Two-level system as a quantum sensor of absolute power
• Charge and current fluctuations in a superconducting single electron transistor near a Cooper pair resonance
• Universal fluctuations and squeezing in generalized Dicke model near the superradiant phase transition
• Photon shot noise
• Applications of the Fokker-Planck equation in circuit quantum electrodynamics
• Probing the statistics of coherent states by continuous wave mixing on a single artificial atom
• Spectral characterization of non-Gaussian quantum noise: Keldysh approach and application to photon shot noise
• Unrestricted electron bunching at the helical edge
• Photonic excess noise and wave localization
• Noise in the helical edge channel anisotropically coupled to a local spin
• Fluctuations and photon statistics in quantum metamaterial near the superradiant transition
• Non-classical current noise and light emission of an ac-driven tunnel junction
• U(1) and SU(2) quantum dissipative systems: The Caldeira-Leggett vs. the Amegaokar-Eckern-Schön approaches