Coherent control of interacting particles using dynamical and Aharonov-Bohm phases

Abstract

A powerful method of manipulating the dynamics of quantum coherent particles is to control the phase of their tunneling. We consider a system of two electrons hopping on a quasi one-dimensional lattice in the presence of a uniform magnetic field, and study the effect of adding a time-periodic driving potential. We show that the dynamical phases produced by the driving can combine with the Aharonov-Bohm phases to give precise control of the localization and dynamics of the particles, even in the presence of strong particle interactions.

4.5 pages, 4 eps figures

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Cited by in corpus (33)

• Experimental observation of Aharonov-Bohm cages in photonic lattices
• Aharonov-Bohm photonic cages in waveguide and coupled resonator lattices by synthetic magnetic fields
• Condition for emergence of the Floquet-Gibbs state in periodically driven open systems
• Topology and interactions in the photonic Creutz and Creutz-Hubbard ladders
• Nonlinear dynamics of Aharonov-Bohm cages
• Long-range doublon transfer in a dimer chain induced by topology and ac fields
• Observation of robust flat-band localization in driven photonic rhombic lattices
• Dynamic localization of light from a time-dependent effective gauge field for photons
• Observation of pair tunneling and coherent destruction of tunneling in arrays of optical waveguides
• Interaction-induced topological properties of two bosons in flat-band systems
• Topological bound states in interacting Su-Schrieffer-Heeger rings
• Sublattice dynamics and quantum state transfer of doublons in two-dimensional lattices
• Bloch oscillations in non-Hermitian lattices with trajectories in complex plane
• Observation of inverse Anderson transitions in Aharonov-Bohm topolectrical circuits
• Flat band induced by the interplay of synthetic magnetic flux and non-Hermiticity
• Localization and time-reversal of light through dynamic modulation
• Observation of flat-band localization and topological edge states induced by effective strong interactions in electrical circuit networks
• Coherent perfect absorbers for transient, periodic or chaotic optical fields: time-reversed lasers beyond threshold
• Fast quantum transfer mediated by topological domain walls
• Many-body Aharonov-Bohm caging in a lattice of rings
• Two-level systems with periodic $N$-step driving fields: Exact dynamics and quantum state manipulations
• Charge localization and dynamical spin locking in double quantum dots driven by ac magnetic fields
• Adiabatic quantum state transfer in tight-binding chains using periodic driving fields
• Effects of Peierls phases in open linear chains
• Light-matter correlations in Quantum Floquet engineering of cavity quantum materials
• Adiabatic pumping in the quasi-one-dimensional triangle lattice
• Transport blocking and topological phases using ac magnetic fields
• Tunable zero modes and quantum interferences in flat-band topological insulators
• Effective dynamics and quantum state engineering by periodic kicks
• All-optical switching at the two-photon limit with interference-localized states
• Synthetic $\pi$-flux system in 2D superconducting qubit array with tunable coupling
• Non-Hermitian Aharonov-Bohm Cage
• Synchronized Aharonov-Bohm Motifs via Engineered Dissipation