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.

8 pages, 6 figures

References in corpus (8)

• Dynamical control of matter-wave tunneling in periodic potentials
• Controllable scattering of photons inside a one-dimensional resonator waveguide
• Low-decoherence flux qubit
• Quantum super-cavity with atomic mirrors
• A hybrid quantum circuit consisting of a superconducting flux qubit coupled to both a spin ensemble and a transmission-line resonator
• AC-induced superfluidity
• Spatial Landau-Zener-Stückelberg interference in spinor Bose-Einstein condensates
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Cited by in corpus (8)

• Faraday waves in collisionally inhomogeneous Bose-Einstein condensates
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• 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