Asymmetric frequency conversion in nonlinear systems driven by a biharmonic pump
arXiv:1405.1745 · doi:10.1103/PhysRevLett.113.247003
Abstract
A novel mechanism of asymmetric frequency conversion is investigated in nonlinear dispersive devices driven parametrically with a biharmonic pump. When the relative phase between the first and second harmonics combined in a two-tone pump is appropriately tuned, nonreciprocal frequency conversion, either upward or downward, can occur. Full directionality and efficiency of the conversion process is possible, provided that the distribution of pump power over the harmonics is set correctly. While this asymmetric conversion effect is generic, we describe its practical realization in a model system consisting of a current-biased, resistively-shunted Josephson junction (RSJ). Here, the multiharmonic Josephson oscillations, generated internally from the static current bias, provide the pump drive.
5+ pages, 4 pages supplement. Expanded and modified discussion, additional references and a new appendix in supplemental material detailing the calculation of Josephson harmonics in the RSJ
References in corpus (15)
- Introduction to Quantum Noise, Measurement and Amplification
- Artificial Brownian motors: Controlling transport on the nanoscale
- Brownian motors
- Optical detection of radio waves through a nanomechanical transducer
- Directed current due to broken time-space symmetry
- Noiseless nonreciprocity in a parametric active device
- Directed Transport of Atoms in a Hamiltonian Quantum Ratchet
- Ratchet-like dynamics of fluxons in annular Josephson junctions driven by bi-harmonic microwave fields
- Non-degenerate, three-wave mixing with the Josephson ring modulator
- Quantum-Limited Amplification via Reservoir Engineering
- High efficiency deterministic Josephson Vortex Ratchet
- Frequency-dependent ratchet effect in superconducting films with a tilted washboard pinning potential
- Gain, directionality and noise in microwave SQUID amplifiers: Input-output approach
- Asymmetric long Josephson junction acting as a ratchet for a quantum field
- AC field induced quantum rectification effect in tunnel junctions
Cited by in corpus (14)
- Nonreciprocal Photon Transmission and Amplification via Reservoir Engineering
- Nonreciprocal microwave signal processing with a Field-Programmable Josephson Amplifier
- Non-Reciprocal gain in non-Hermitian time-Floquet Systems
- Demonstration of efficient nonreciprocity in a microwave optomechanical circuit
- Theory of nonreciprocal Josephson effect
- Graph-based analysis of nonreciprocity in coupled-mode systems
- Realization of directional amplification in a microwave optomechanical device
- Frequency conversion in ultrastrong cavity QED
- Non-reciprocal quantum interactions and devices via autonomous feed-forward
- Minimal models for nonreciprocal amplification using biharmonic drives
- Nonreciprocal Signal Routing in an Active Quantum Network
- Josephson parametric reflection amplifier with integrated directionality
- Down-conversion processes in ab-initio non-relativistic quantum electrodynamics
- Interaction induced non-reciprocal three-level quantum transport