Driven-dissipative topological phases in parametric resonator arrays
arXiv:2207.13715 · doi:10.22331/q-2023-05-23-1016
Abstract
We study the phenomena of topological amplification in arrays of parametric oscillators. We find two phases of topological amplification, both with directional transport and exponential gain with the number of sites, and one of them featuring squeezing. We also find a topologically trivial phase with zero-energy modes which produces amplification but lacks the robust topological protection of the others. We characterize the resilience to disorder of the different phases and their stability, gain, and noise-to-signal ratio. Finally, we discuss their experimental implementation with state-of-the-art techniques.
arXiv comment23 pages and 19 labeled figures. Also An Appendix with the detailed calculations at the end
References in corpus (50)
- Topological Insulators
- Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
- Unpaired Majorana fermions in quantum wires
- Topological Photonics
- Topological Photonics
- Photonic Floquet Topological Insulators
- Topological insulators and superconductors: ten-fold way and dimensional hierarchy
- Edge states and topological invariants of non-Hermitian systems
- Photonic Analogue of Two-dimensional Topological Insulators and Helical One-Way Edge Transport in Bi-Anisotropic Metamaterials
- Topological phases of non-Hermitian systems
- Symmetry and Topology in Non-Hermitian Physics
- Topological Origin of Non-Hermitian Skin Effects
- Non-Hermitian Boundary Modes
- A topological quantum optics interface
- Non-Hermitian skin effect and chiral damping in open quantum systems
- Biorthogonal Quantum Mechanics
- Chiral groundstate currents of interacting photons in a synthetic magnetic field
- Periodic Table for Topological Bands with Non-Hermitian Bernard-LeClair Symmetries
- Non-Hermitian Topological Sensors
- Realization of a three-dimensional photonic topological insulator
- Quantum many-body dynamics in optomechanical arrays
- Topology by dissipation
- Unconventional quantum optics in topological waveguide QED
- Exponentially-enhanced quantum sensing with non-Hermitian lattice dynamics
- Quantum electrodynamics in a topological waveguide
- Phase-dependent chiral transport and effective non-Hermitian dynamics in a bosonic Kitaev-Majorana chain
- Josephson junction-embedded transmission-line resonators: from Kerr medium to in-line transmon
- Topological framework for directional amplification in driven-dissipative cavity arrays
- Introduction to Quantum-limited Parametric Amplification of Quantum Signals with Josephson Circuits
- Synthetic Gauge Fields for Vibrational Excitations of Trapped ions
- Controlling the dynamic range of a Josephson parametric amplifier
- Topological quantum fluctuations and travelling wave amplifiers
- Quantum Non-Hermitian Topological Sensors
- Non-equilibrium stationary states of quantum non-Hermitian lattice models
- Topological Amplification in Photonic Lattices
- Qubit-photon bound states in topological waveguides with long-range hoppings
- Light-matter interactions in synthetic magnetic fields: Landau-photon polaritons
- Topology by Dissipation: Majorana Bosons in Metastable Quadratic Markovian Dynamics
- Observation of two-mode squeezing in a traveling wave parametric amplifier
- Topological Bogoliubov excitations in inversion-symmetric systems of interacting bosons
- Microwave Applications of Photonic Topological Insulators
- Tunable and robust long-range coherent interactions between quantum emitters mediated by Weyl bound states
- Photon-Assisted-Tunneling Toolbox for Quantum Simulations in Ion Traps
- Topological input-output theory for directional amplification
- Floquet-engineered vibrational dynamics in a two-dimensional array of trapped ions
- Two mode coupling in a single ion oscillator via parametric resonance
- Bridging the gap between topological non-Hermitian physics and open quantum systems
- Light-matter interactions near photonic Weyl points
- Topological Sensing with Photonic Arrays of Resonant Circular Waveguides
- Transport signatures in topological systems coupled to AC fields
Cited by in corpus (6)
- Chiral quantum optics: recent developments, and future directions
- Diagnosing non-Hermitian Many-Body Localization and Quantum Chaos via Singular Value Decomposition
- Fast quantum transfer mediated by topological domain walls
- Topological, multi-mode amplification induced by non-reciprocal, long-range dissipative couplings
- Topological Amplification of the Bosonic Kitaev Chain with Non-Uniform Loss
- Analog Circuit-QED Simulator of Quantum Spin Dynamics Through the Extended Bose-Hubbard Model