Dynamics of one-dimensional tight-binding models with arbitrary time-dependent external homogeneous fields

Abstract

The exact propagators of two one-dimensional systems with time-dependent external fields are presented by following the path-integral method. It is shown that the Bloch acceleration theorem can be generalized to the impulse-momentum theorem in quantum version. We demonstrate that an evolved Gaussian wave packet always keeps its shape in an arbitrary time-dependent homogeneous driven field. Moreover, that stopping and accelerating of a wave packet can be achieved by the pulsed field in a diabatic way.

arXiv comment8 pages, 6 figures

References in corpus (26)

• Hybrid quantum circuits: Superconducting circuits interacting with other quantum systems
• Atomic physics and quantum optics using superconducting circuits
• Quantum spin squeezing
• Landau-Zener-Stuckelberg interferometry
• Natural and artificial atoms for quantum computation
• Dynamical control of matter-wave tunneling in periodic potentials
• Controllable scattering of photons inside a one-dimensional resonator waveguide
• Superfluid-insulator transition in a periodically driven optical lattice
• Hybrid quantum devices and quantum engineering
• Low-decoherence flux qubit
• Quantum super-cavity with atomic mirrors
• Controlling the transport of single photons by tuning the frequency of either one or two cavities in an array of coupled cavities
• Quantum Zeno switch for single-photon coherent transport
• High coherence hybrid superconducting qubit
• A hybrid quantum circuit consisting of a superconducting flux qubit coupled to both a spin ensemble and a transmission-line resonator
• Periodically-driven cold atoms: the role of the phase
• AC-induced superfluidity
• Suppression of Magnetic State Decoherence Using Ultrafast Optical Pulses
• Theoretical analysis of quantum dynamics in 1D lattices: Wannier-Stark description
• Overview of Quantum Error Prevention and Leakage Elimination
• Quantum information storage and state transfer based on spin systems
• Wave packet transmission of Bloch electron manipulated by magnetic field
• Spatial Landau-Zener-Stückelberg interference in spinor Bose-Einstein condensates
• Fast Converging Path Integrals for Time-Dependent Potentials I: Recursive Calculation of Short-Time Expansion of the Propagator
• Fast Converging Path Integrals for Time-Dependent Potentials II: Generalization to Many-body Systems and Real-Time Formalism
• Dynamics of a tight-binding ring threaded by time-periodic magnetic flux

Cited by in corpus (8)

• Faraday waves in collisionally inhomogeneous Bose-Einstein condensates
• Partial topological Zak phase and dynamical confinement in non-Hermitian bipartite system
• Tight-binding lattices with an oscillating imaginary gauge field
• Characteristic length scales from entanglement dynamics in electric-field-driven tight-binding chains
• Faraday and Resonant Waves in Dipolar Cigar-Shaped Bose-Einstein Condensates
• Amplitude control of a quantum state in a non-Hermitian Rice-Mele model driven by an external field
• Bloch oscillations in interacting systems driven by a time-dependent magnetic field
• Coherent confinement and unidirectional dynamics of a wave packet induced by a non-Hermitian Su-Schrieffer-Heeger segment