Quantum walks accompanied by spin flipping in one-dimensional optical lattices

Abstract

We investigate continuous-time quantum walks of two fermionic atoms loaded in one-dimensional optical lattices with on-site interaction and subjected to a Zeeman field. The quantum walks are accompanied by spin-flipping processes. We calculate the time-dependent density distributions of the two fermions with opposite spins which are initially positioned on the center site by means of exact numerical method. Besides the usual fast linear expansion behavior, we find an interesting spin-flipping induced localization in the time-evolution of density distributions. We show that the fast linear expansion behavior could be restored by simply ramping on the Zeeman field or further increasing the spin-flipping strength. The intrinsic origin of this exotic phenomenon is attributed to the emergence of a flat band in the single particle spectrum of the system. Furthermore, we investigate the effect of on-site interaction on the dynamics of the quantum walkers. The two-particle correlations are calculated and signal of localization is also shown therein. A simple potential experimental application of this interesting phenomenon is proposed.

arXiv comment8 pages, 11 figures

References in corpus (38)

• Topological Insulators
• Topological insulators and superconductors
• A spin-orbit coupled Bose-Einstein condensate
• Artificial gauge potentials for neutral atoms
• Vortex formation in a stirred Bose-Einstein condensate
• Realization of the Hofstadter Hamiltonian with ultracold atoms in optical lattices
• Quantum random walks - an introductory overview
• Synthetic magnetic fields for ultracold neutral atoms
• Quantum Computation and Decision Trees
• Topological States and Adiabatic Pumping in Quasicrystals
• Realizing the Harper Hamiltonian with Laser-Assisted Tunneling in Optical Lattices
• Universal computation by quantum walk
• Spin-Orbit Coupled Degenerate Fermi Gases
• Spin-Injection Spectroscopy of a Spin-Orbit Coupled Fermi Gas
• Creation of effective magnetic fields in optical lattices: The Hofstadter butterfly for cold neutral atoms
• Quantum simulation of frustrated magnetism in triangular optical lattices
• Repulsively bound atom pairs in an optical lattice
• Synthetic gauge fields in synthetic dimensions
• Observation of topologically protected bound states in a one dimensional photonic system
• Exploring Topological Phases With Quantum Walks
• Microscopic observation of magnon bound states and their dynamics
• Universal computation by multi-particle quantum walk
• Strongly Correlated Quantum Walks in Optical Lattices
• Edge states and topological phases in one-dimensional optical superlattices
• Gauge fields for ultracold atoms in optical superlattices
• Two Fermions in a double well: Exploring a fundamental building block of the Hubbard model
• Non-Abelian optical lattices: Anomalous quantum Hall effect and Dirac Fermions
• A Raman-induced Feshbach resonance in an effectively single-component Fermi gas
• An Optical-Lattice-Based Quantum Simulator For Relativistic Field Theories and Topological Insulators
• Spin-Orbit Coupling Induced Coherent Production of Feshbach Molecules in a Degenerate Fermi Gas
• Quantized Adiabatic Transport in Momentum Space
• Quantum Walk of Two Interacting Bosons
• Statistics-dependent quantum co-walking of two particles in one-dimensional lattices with nearest-neighbor interactions
• Quantum Walks of Two Interacting Anyons in 1D Optical Lattices
• Quantum dynamics of repulsively bound atom pairs in the Bose-Hubbard model
• Hidden-symmetry-protected topological phases on a one-dimensional lattice
• Interaction induced mergence of Dirac points in Non-Abelian optical lattices
• Preparation of stable excited states in an optical lattice via sudden quantum quench

Cited by in corpus (5)

• Two bosonic quantum walkers in one-dimensional optical lattices
• Quantum dynamics on a lossy non-Hermitian lattice
• Quantum walks in commensurate off-diagonal Aubry-André-Harper model
• Probing the sign of on-site Hubbard interaction by two-particle quantum walks
• Dynamics of discrete-time quantum walk with time-correlated unitary noise