Generation of atypical hopping and interactions by kinetic driving
arXiv:1706.04864 · doi:10.1088/1367-2630/aad376
Abstract
We study the effect of time-periodically varying the hopping amplitude in a one-dimensional Bose-Hubbard model, such that its time-averaged value is zero. Employing Floquet theory, we derive a static effective Hamiltonian in which nearest-neighbor single-particle hopping processes are suppressed, but all even higher-order processes are allowed. Unusual many-body features arise from the combined effect of nonlocal interactions and correlated tunneling. At a critical value of the driving, the system passes from a Mott insulator to a superfluid formed by two quasi-condensates with opposite nonzero momenta. This work shows how driving of the hopping energy provides a novel form of Floquet engineering, which enables atypical Hamiltonians and exotic states of matter to be produced and controlled.
Minor changes and references added, this version as published
References in corpus (23)
- Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
- Atomic quantum gases in periodically driven optical lattices
- Observation of a Discrete Time Crystal
- Observation of discrete time-crystalline order in a disordered dipolar many-body system
- Periodically-driven quantum systems: Effective Hamiltonians and engineered gauge fields
- Dynamical control of matter-wave tunneling in periodic potentials
- Tunable gauge potential for neutral and spinless particles in driven lattices
- Non-standard Hubbard models in optical lattices: a review
- Non-Abelian gauge fields and topological insulators in shaken optical lattices
- Coherent control of dressed matter waves
- Fragmentation of Bose-Einstein Condensates
- Single Particle Tunneling in Strongly Driven Double Well Potentials
- Emergence of quasi-condensates of hard-core bosons at finite momentum
- Spectroscopy of ultracold atoms by periodic lattice modulations
- Interaction dependent heating and atom loss in a periodically driven optical lattice
- Ultracold Lattice Gases with Periodically Modulated Interactions
- Floquet engineering of long-range p-wave superconductivity
- Tuning the Mott transition in a Bose-Einstein condensate by multi-photon absorption
- Floquet analysis of a quantum system with modulated periodic driving
- Engineering interactions and anyon statistics by multicolor lattice-depth modulations
- Comment on "Creating artificial magnetic fields for cold atoms by photon-assisted tunneling" by Kolovsky A.R
- Realization of uniform synthetic magnetic fields by periodically shaking an optical square lattice
- Finding zeros of the Riemann zeta function by periodic driving of cold atoms
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- Protected cat states from kinetic driving of a boson gas
- Lattice modulation spectroscopy of one-dimensional quantum gases:Universal scaling of the absorbed energy
- Superfluidity from correlations in driven boson systems
- Cat states in a driven superfluid: role of signal shape and switching protocol
- Steering spin fluctuations in lattice systems via two-tone Floquet engineering
- Expansion of a one-dimensional Bose gas: the role of interactions and kinetic-energy driving
- Topological Phase Diagram of Optimally Shaken Honeycomb Lattices: A Dual Perspective from Stroboscopic and Non-Stroboscopic Floquet Hamiltonians
- Sachdev-Ye-Kitaev physics from the Hubbard model: A Floquet engineering approach
- Scalable phonon-laser arrays with self-organized synchronization
- Floquet-engineered system-reservoir interaction in the transverse field Ising model