Nonlinear dynamics in a synthetic momentum state lattice
arXiv:2105.04429 · doi:10.1103/PhysRevLett.127.130401
Abstract
The scope of analog simulation in atomic, molecular, and optical systems has expanded greatly over the past decades. Recently, the idea of synthetic dimensions -- in which transport occurs in a space spanned by internal or motional states coupled by field-driven transitions -- has played a key role in this expansion. While approaches based on synthetic dimensions have led to rapid advances in single-particle Hamiltonian engineering, strong interaction effects have been conspicuously absent from most synthetic dimensions platforms. Here, in a lattice of coupled atomic momentum states, we show that atomic interactions result in large and qualitative changes to dynamics in the synthetic dimension. We explore how the interplay of nonlinear interactions and coherent tunneling enriches the dynamics of a one-band tight-binding model, giving rise to macroscopic self-trapping and phase-driven Josephson dynamics with a nonsinusoidal current-phase relationship, which can be viewed as stemming from a nonlinear band structure arising from interactions.
arXiv comment6 pages, 3 figures, 3 pages of supplementary material
References in corpus (73)
- Direct Observation of Tunneling and Nonlinear Self-Trapping in a single Bosonic Josephson Junction
- Josephson Junction Arrays with Bose-Einstein Condensates
- Observation of chiral edge states with neutral fermions in synthetic Hall ribbons
- Visualizing edge states with an atomic Bose gas in the quantum Hall regime
- Synthetic gauge fields in synthetic dimensions
- Superflow in a toroidal Bose-Einstein condensate: an atom circuit with a tunable weak link
- Observation of the topological soliton state in the Su-Schrieffer-Heeger model
- Supercurrent reversal in quantum dots
- Classical bifurcation at the transition from Rabi to Josephson dynamics
- Coherent spinor dynamics in a spin-1 Bose condensate
- Topological quantum matter in synthetic dimensions
- Hysteresis in a quantized, superfluid atomtronic circuit
- Observation of the topological Anderson insulator in disordered atomic wires
- Quantum simulation of an extra dimension
- Synthetic dimensions and spin-orbit coupling with an optical clock transition
- Spin-orbit coupled fermions in an optical lattice clock
- Experimental realization of Josephson junctions for an Atom SQUID
- Nonlinear Self-Trapping of Matter Waves in Periodic Potentials
- Deterministic entanglement generation from driving through quantum phase transitions
- Tunable non-reciprocal quantum transport through a dissipative Aharonov-Bohm ring in ultracold atoms
- Observation of tunable mobility edges in generalized Aubry-André lattices
- Direct observation of chiral currents and magnetic reflection in atomic flux lattices
- Quantum transport in ultracold atoms
- Observation of a non-Abelian Yang Monopole: From New Chern Numbers to a Topological Transition
- Josephson effect in fermionic superfluids across the BEC-BCS crossover
- Dynamics of a tunable superfluid junction
- Many-body Landau-Zener dynamics in coupled 1D Bose liquids
- Probing chiral edge dynamics and bulk topology of a synthetic Hall system
- Vortex proliferation in the Berezinskii-Kosterlitz-Thouless regime on a two-dimensional lattice of Bose-Einstein condensates
- Superfluidity and Swallowtails; Hysteretic Behavior in Bose Condensates
- Relaxation to a Phase-locked Equilibrium State in a One-dimensional Bosonic Josephson Junction
- Synthetic spin-orbit coupling in an optical lattice clock
- Engineering a flux-dependent mobility edge in disordered zigzag chains
- Synthetic Dimensions for Cold Atoms from Shaking a Harmonic Trap
- Observation of Dynamical Quantum Phase Transition with Correspondence in Excited State Phase Diagram
- Negative differential conductivity in an interacting quantum gas
- Observation of a Transition Between Dynamical Phases in a Quantum Degenerate Fermi Gas
- Topological quantum walks in momentum space with a Bose-Einstein condensate
- Crossing Over from Attractive to Repulsive Interactions in a Tunneling Bosonic Josephson Junction
- Interferometric measurement of the current-phase relationship of a superfluid weak link
- Atom-optics simulator of lattice transport phenomena
- An atom optics approach to studying lattice transport phenomena
- Correlated dynamics in a synthetic lattice of momentum states
- Interacting atomic quantum fluids on momentum-space lattices
- Macroscopic self trapping in BECs: analysis of a dynamical quantum phase transition
- Engineering tunable local loss in a synthetic lattice of momentum states
- Dynamical quantum phase transitions: a brief survey
- Synthetic dimensions in ultracold molecules: quantum strings and membranes
- Solving the Schrödinger eigenvalue problem by the imaginary time propagation technique using splitting methods with complex coefficients
- Synthetic gauge fields in synthetic dimensions: Interactions and chiral edge modes
- Dynamics of interacting fermions under spin-orbit coupling in an optical lattice clock
- Band Gap Closing in a Synthetic Hall Tube of Neutral Fermions
- Realization of a cross-linked chiral ladder with neutral fermions in an optical lattice by orbital-momentum coupling
- Manipulating the magnetic state of a carbon nanotube Josephson junction using the superconducting phase
- Probing spin correlations in a Bose-Einstein condensate near the single atom level
- Momentum-Space Josephson Effects
- Current-phase relations of InAs nanowire Josephson junctions: from interacting to multi-mode regimes
- Ballistic, diffusive, and arrested transport in disordered momentum-space lattices
- Quantum Zeno effects across a parity-time symmetry breaking transition in atomic momentum space
- Quantitative acoustic models for superfluid circuits
- Imaging topology of Hofstadter ribbons
- Self-trapping in an array of coupled 1D Bose gases
- Interaction-assisted quantum tunneling of a Bose-Einstein condensate out of a single trapping well
- Strings of ultracold molecules in a synthetic dimension
- Manipulation of an elongated internal Josephson junction of bosonic atoms
- Non-exponential tunneling due to mean-field induced swallowtails
- Effective Josephson dynamics in resonantly driven Bose-Einstein condensates
- Relaxation and hysteresis near Shapiro resonances in a driven spinor condensate
- Nonlinear looped band structure of Bose-Einstein condensates in an optical lattice
- Dynamical Phase Diagram of Ultracold Josephson Junctions
- Coherent Manipulation of the Internal State of Ultracold RbCs Molecules with Multiple Microwave Fields
- Periodic driving induced helical Floquet channels with ultracold atoms in momentum space
- Rabi oscillations and Ramsey-type pulses in ultracold bosons: Role of interactions
Cited by in corpus (13)
- Roadmap on structured waves
- Observation of interaction-induced mobility edge in a disordered atomic wire
- Aharonov-Bohm Caging and Inverse Anderson transition in Ultracold Atoms
- A comprehensive review on developments of synthetic dimensions
- Observing dynamical currents in a non-Hermitian momentum lattice
- Ground state stability, symmetry, and degeneracy in Mott insulators with long range interactions
- Observation of Momentum Space Josephson Effects
- Experimental realization of a fermionic spin-momentum lattice
- Quantum Membrane Phases in Synthetic Lattices of Cold Molecules or Rydberg Atoms
- Wave-packet spreading in the disordered and nonlinear Su-Schrieffer-Heeger chain
- Real-space analysis of Hatsugai-Kohmoto interaction
- Nonlinear multi-state tunneling dynamics in a spinor Bose-Einstein condensate
- Topological Chiral Edge States in a Synthetic Dimension of Atomic Trap States