Topological dynamics of adiabatic cat states
arXiv:2211.13502 · doi:10.21468/SciPostPhys.17.4.112
Abstract
We consider a quantum topological frequency converter, realized by coupling a qubit to two slow harmonic modes. The dynamics of such a system is the quantum analog of topological pumping. Our quantum mechanical description shows that an initial state generically evolves into a superposition of two adiabatic states. The topological nature of the coupling between the qubit and the modes splits these two components apart in energy: for each component, an energy transfer at a quantized rate occurs between the two quantum modes, in opposite directions for the two components, reminiscent of the topological pumping. We denote such a superposition of two quantum adiabatic states distinguishable through measures of the modes' energy an adiabatic cat state. We show that the topological coupling enhances the entanglement between the qubit and the modes, and we unveil the role of the quantum or Fubini-Study metric in the characterization of this entanglement.
References in corpus (61)
- Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
- Berry Phase Effects on Electronic Properties
- Maximally localized Wannier functions: Theory and applications
- Topological States and Adiabatic Pumping in Quasicrystals
- Resolving photon number states in a superconducting circuit
- A Thouless Quantum Pump with Ultracold Bosonic Atoms in an Optical Superlattice
- Topological Thouless Pumping of Ultracold Fermions
- Superfluidity in topologically nontrivial flat bands
- Phase space representation of quantum dynamics
- The Insulating State of Matter: A Geometrical Theory
- Direct measurement of the quantum geometric tensor in a two-dimensional continuous medium
- Topological Pumping over a Photonic Fibonacci Quasicrystal
- Thouless pumping and topology
- Classifying and measuring the geometry of the quantum ground state manifold
- Geometric orbital susceptibility: quantum metric without Berry curvature
- Topological frequency conversion in strongly driven quantum systems
- Topological Phase Transitions and Thouless Pumping of Light in Photonic Waveguide Arrays
- Experimental observation of temporal pumping in electro-mechanical waveguides
- Extracting the quantum metric tensor through periodic driving
- Geometrical pumping with a Bose-Einstein condensate
- Non-adiabatic breaking of topological pumping
- Deterministic protocol for mapping a qubit to coherent state superpositions in a cavity
- Experimental Observation of a Generalized Thouless Pump with a Single Spin
- Geometry of the transport equation in multicomponent WKB approximations
- Vacuum induced Spin-1/2 Berry phase
- Coherent control of quantum topological states of light in Fock-state lattices
- Revealing tensor monopoles through quantum-metric measurements
- Topological Floquet-Thouless energy pump
- Effective Theory of Non-Adiabatic Quantum Evolution Based on the Quantum Geometric Tensor
- Self-oscillating pump in a topological dissipative atom-cavity system
- Topological classification of quasi-periodically driven quantum systems
- Berry Curvature and Quantum Metric in -band systems -- an Eigenprojector Approach
- Contrasting lattice geometry dependent versus independent quantities: ramifications for Berry curvature, energy gaps, and dynamics
- Direct observation of geometric phase in dynamics around a conical intersection
- Mesoscopic Superposition States Generated by Synthetic Spin-orbit Interaction in Fock-state Lattices
- Optimal decay of Wannier functions in Chern and Quantum Hall insulators
- Topological pumping in a Floquet-Bloch band
- Topological phases of quantized light
- Relating the topology of Dirac Hamiltonians to quantum geometry: When the quantum metric dictates Chern numbers and winding numbers
- Nonadiabatic Topological Energy Pumps with Quasiperiodic Driving
- Laughlin's topological charge pump in an atomic Hall cylinder
- Topological energy conversion through bulk or boundary of driven systems
- Half-integer quantized topological response in quasiperiodically driven quantum systems
- Topological Frequency Conversion in a Driven Dissipative Quantum Cavity
- Topological two-dimensional Floquet lattice on a single superconducting qubit
- Parallel Transport and Band Theory in Crystals
- Quasiperiodic Floquet-Thouless energy pump
- Semiclassical approximations for Hamiltonians with operator-valued symbols
- Analog of the spin-orbit induced anomalous Hall effect with quantized radiation
- Directed coherent transport due to Bloch oscillation in two dimensions
- Topology of a dissipative spin: dynamical Chern number, bath induced non-adiabaticity and a quantum dynamo effect
- Boosting the Quantum State of a Cavity with Floquet Driving
- Universal nonadiabatic energy pumping in a quasiperiodically driven extended system
- Unified Light-Matter Floquet Theory and its Application to Quantum Communication
- Interacting topological frequency converter
- Two-dimensional Bloch oscillations: A Lie-algebraic approach
- Photon pumping in a weakly-driven quantum cavity-spin system
- Bloch-like energy oscillations
- Dynamical decoupling for realization of topological frequency conversion
- Topological Burning Glass Effect
- Localization dynamics in a centrally coupled system