Impact of Boundary Conditions on the Double-Kicked Quantum Rotor
arXiv:2601.07339 · doi:10.1103/2xbv-pp1m
Abstract
We study the on-resonance Spin-1/2 Double Kicked Rotor, a periodically driven quantum system that hosts topological phases. Motivated by experimental constraints, we analyze the effects of open and periodic boundary conditions in contrast to the idealized case of infinite momentum space. As a bulk probe for topological invariants, we focus on the Mean Chiral Displacement (MCD) and show that it exhibits a pronounced sensitivity to boundary conditions, which can be traced to the dynamics in momentum space. Under open boundaries, states that would otherwise extend freely become localized at the edges of the finite momentum space, forming quasienergy edge states. While the bulk response measured by the MCD is strongly affected once the evolving wave packet reaches the boundaries, the persistence of these edge states still reflects the bulk-edge correspondence and provides reliable signatures of topological transitions.
References in corpus (47)
- Unpaired Majorana fermions in quantum wires
- Classification of topological insulators and superconductors in three spatial dimensions
- Classification of topological quantum matter with symmetries
- Novel Symmetry Classes in Mesoscopic Normal-Superconducting Hybrid Structures
- Topological insulators and superconductors: ten-fold way and dimensional hierarchy
- Floquet Topological Insulator in Semiconductor Quantum Wells
- Photovoltaic Hall effect in graphene
- Atomic quantum gases in periodically driven optical lattices
- Light-induced gauge fields for ultracold atoms
- Topological Quantum Matter with Ultracold Gases in Optical Lattices
- Observation of topologically protected bound states in a one dimensional photonic system
- Exploring Topological Phases With Quantum Walks
- Periodic Table for Floquet Topological Insulators
- Detection of Zak phases and topological invariants in a chiral quantum walk of twisted photons
- Realization of an anomalous Floquet topological system with ultracold atoms
- Topological quantum matter with cold atoms
- Symmetries, Topological Phases and Bound States in the One-Dimensional Quantum Walk
- Topological invariants of Floquet systems: General formulation, special properties, and Floquet topological defects
- Topological characterization of chiral models through their long time dynamics
- Experimental Realization of Quantum-Resonance Ratchets
- Quantum resonances and decoherence for delta-kicked atoms
- Quantized Adiabatic Transport in Momentum Space
- Rectified momentum transport for a kicked Bose-Einstein Condensate
- Quantum Walk in Momentum Space with a Bose-Einstein Condensate
- Topological Effects in Chiral Symmetric Driven Systems
- Floquet topological phases in a spin-1/2 double kicked rotor
- Observation of high-order quantum resonances in the kicked rotor
- Proposal of a Cold-atom Realization of Quantum Maps with Hofstadter's Butterfly Spectrum
- Quantum resonances in selective rotational excitation of molecules with a sequence of ultrashort laser pulses
- Sub-Fourier characteristics of a -kicked rotor resonance
- A quantum random walk of a Bose-Einstein condensate in momentum space
- Experimental Realization of a Quantum Ratchet Through Phase Modulation
- Observation of coherence revival and fidelity saturation in a delta-kicked rotor potential
- Kicked-Harper model vs On-Resonance Double Kicked Rotor Model: From Spectral Difference to Topological Equivalence
- Experimental realization of a momentum-space quantum walk
- Antiresonance and Localization in Quantum Dynamics
- Kicked rotor quantum resonances in position space
- Hamiltonian ratchets with ultra-cold atoms
- Steering random walks with kicked ultracold atoms
- Counterdiabatic Driving for Periodically Driven Systems
- Topological edge states at Floquet quantum criticality
- Edge states of periodically kicked quantum rotors
- Detecting Topological phase transitions in a double kicked quantum rotor
- Topological charges of periodically kicked molecules
- Enhancing Quantum Metrology by Quantum Resonance Dynamics
- Designing nontrivial one-dimensional Floquet topological phases using a spin-1/2 double-kicked rotor
- Spontaneous-emission induced ratchet in atom-optics kicked rotor quantum walks