Refrigeration of a 1D gas of microwave photons

Abstract

We discuss a conceptually simple scheme for cooling a one dimensional gas of microwave photons in a superconducting transmission line. By shunting one end of the transmission line by a nonlinear Josephson element, we show how a cooling mechanism can be engineered that transfers photons from high- into low-frequency modes, while preserving their total number. We evaluate the resulting nonequilibrium steady state of the photon gas, which arises from a competition between this engineered cooling process and the natural, number non-conserving thermalization with the surrounding bath. Our analysis predicts that for realistic experimental parameters, this mechanism can be used to prepare photonic gases at sub-millikelvin temperatures, considerably below the typical base temperature of a dilution refrigerator. In addition, the system exhibits a new type of condensation transition that does not occur in the corresponding equilibrium scenario. As an outlook, we discuss potential applications of this cooling approach for quantum simulation schemes with interacting microwave photons.

14 pages, 7 figures

References in corpus (24)

• Beyond the Jaynes-Cummings model: circuit QED in the ultrastrong coupling regime
• Quantum States and Phases in Driven Open Quantum Systems with Cold Atoms
• Bose-Einstein condensation of photons in an optical microcavity
• Liouvillian Skin Effect: Slowing Down of Relaxation Processes without Gap Closing
• Superfluid-Mott Insulator Transition of Light in the Jaynes-Cummings Lattice
• Collective coherence in planar semiconductor microcavities
• Two-dimensional Lattice Gauge Theories with Superconducting Quantum Circuits
• A scalable superconducting quantum simulator with long-range connectivity based on a photonic bandgap metamaterial
• Thermalization and breakdown of thermalization in photon condensates
• Circuit quantization in the presence of time-dependent external flux
• Quarter-Flux Hofstadter Lattice in Qubit-Compatible Microwave Cavity Array
• Quantum simulation of Hawking radiation and curved spacetime with a superconducting on-chip black hole
• Realization of fractional quantum Hall state with interacting photons
• Universal control of a bosonic mode via drive-activated native cubic interactions
• Probing entanglement across the energy spectrum of a hard-core Bose-Hubbard lattice
• Implementing a synthetic magnetic vector potential in a 2D superconducting qubit array
• The bosonic skin effect: boundary condensation in asymmetric transport
• Analogue Quantum Simulation with Fixed-Frequency Transmon Qubits
• Large deviations of density fluctuations in the boundary driven Quantum Symmetric Simple Inclusion Process
• A Unified Interface Model for Dissipative Transport of Bosons and Fermions
• Tunneling Spectroscopy in Superconducting Circuit Lattices
• Efficient Quantum Cooling Algorithm for Fermionic Systems
• Engineering a multi-level bath for transmons with three-wave mixing and parametric drives
• On-demand analog space-time in superconducting networks: grey holes, dynamical instability and exceptional points