Analogue Hawking Radiation and Sine-Gordon Soliton in a Superconducting Circuit

Abstract

We propose the use of a waveguide-like transmission line based on direct-current superconducting quantum interference devices (dc-SQUID) and study the sine-Gordon (SG) equation which characterises the dynamical behavior of the superconducting phase in this transmission line. Guided by the duality between black holes in Jackiw-Teitelboim (JT) dilaton gravity and solitons in sine-Gordon field theory, we show how to, in our setup, realize 1 + 1 dimensional black holes as solitons of the sine-Gordon equation. We also study the analogue Hawking radiation in terms of the quantum soliton evaporation, and analyze its feasibility within current circuit quantum electrodynamics (cQED) technology. Our results may not only facilitate experimentally understanding the relation between Jackiw-Teitelboim dilaton gravity and sine-Gordon field theory, but also pave a new way, in principle, for the exploration of analogue quantum gravitational effects.

6 pages, 2 figures

References in corpus (13)

• Amplification and squeezing of quantum noise with a tunable Josephson metamaterial
• Observation of self-amplifying Hawking radiation in an analog black hole laser
• A widely tunable parametric amplifier based on a SQUID array resonator
• The dynamical Casimir effect in superconducting microwave circuits
• Microwave Photon Detector in Circuit QED
• Analogue Hawking Radiation in a dc-SQUID Array Transmission Line
• Correlation Functions of the Quantum Sine-Gordon Model in and out of Equilibrium
• Magnonic black holes
• Quantum entanglement in analogue Hawking radiation, when is the final state non-separable ?
• Quantum signature of analog Hawking radiation in momentum space
• Assessing degrees of entanglement of phonon states in atomic Bose gases through the measurement of commuting observables
• Roton entanglement in quenched dipolar Bose-Einstein condensates
• Radiation emission due to fluxon scattering on inhomogeneity in large two-dimensional Josephson junction

Cited by in corpus (15)

• Verifying the upper bound on the speed of scrambling with the analogue Hawking radiation of trapped ions
• Genuine N-partite entanglement and distributed relationships in the background of dilation black holes
• Probing Lorentz-Invariance-Violation Induced Nonthermal Unruh Effect in Quasi-Two-Dimensional Dipolar Condensates
• Quantum coherence and distribution of N-partite bosonic fields in noninertial frame
• Gaussian tripartite steering in Schwarzschild black hole
• Simulation of the massless Dirac field in 1+1D curved spacetime
• Genuine multipartite entanglement subject to the Unruh and anti-Unruh effects
• Genuine tripartite entanglement of W state subject to Hawking effect of a Schwarzschild black hole
• Chiral SQUID-metamaterial waveguide for circuit-QED
• Particle scattering in a sonic analogue of special relativity
• Light-Matter interactions in Hofstadter lattice with the next-nearest neighbor couplings
• Quantum heat engine based on quantum interferometry: the SU(1,1) Otto cycle
• Particle creation in left-handed metamaterial transmission lines
• Simulating superluminal propagation of Dirac particles using trapped ions
• Gaussian states in quantum field theory: Exact representations of relative phase in superpositions of Gaussian states