Impact of Boundary Conditions on the Double-Kicked Quantum Rotor

• URL: http://arxiv.org/abs/2601.07339v1
• Date: Mon, 12 Jan 2026 09:06:00 GMT
• Title: Impact of Boundary Conditions on the Double-Kicked Quantum Rotor
• Abstract summary: We study the on-resonance Spin-1/2 Double Kicked Rotor, a periodically driven quantum system that hosts topological phases.<n>We analyze the effects of open and periodic boundary conditions in contrast to the idealized case of infinite momentum space.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• 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.

Related papers

• Boundary quenches in (1+1)-dimensional conformal field theory [0.12314765641075438]
  We investigate a class of local quantum quenches in which the conformal boundary condition of a (1+1)-dimensional conformal field theory is abruptly changed.<n>We derive a simple and universal expression for the time evolution of one-point functions on the half-line.<n>Our results uncover universal dynamical signatures of boundary quenches and establish a direct connection between nonequilibrium entanglement dynamics and boundary critical phenomena.
  arXiv  Detail & Related papers  (2026-07-21T15:02:24Z)
• Quantum Trajectory Entanglement in Seeded Boundary Time Crystals [46.94763753277221]
  entanglement spreads among different spin ensembles when a BTC attempts to seed its time-crystalline behavior onto otherwise static spin ensembles.<n>We analyse both the dynamical growth of entanglement in time and the steady-state properties of the system.<n>These findings establish dissipative seeding as a powerful mechanism for controlling quantum correlations in open many-body systems.
  arXiv  Detail & Related papers  (2026-07-01T18:00:08Z)
• Magnetic long-range order at finite temperature in two-dimensional hyperbolic lattices [45.88028371034407]
  Infrared singularities of gapless Goldstone modes preclude magnetic long-range order at finite temperature in conventional two-dimensional systems.<n>We find that the zero-energy collective modes required by symmetry carry vanishing local spectral weight.<n>We estimate the ordering temperature from the thermal spin-wave correction to the ordered moment.
  arXiv  Detail & Related papers  (2026-06-25T18:00:01Z)
• Robust Floquet Topological Phases and Anomalous $π$-Modes in Quasiperiodic Quantum Walks [0.0]
  We uncover the global topological phase diagram of one-dimensional discrete-time quantum walks driven by Fibonacci-modulated coin parameters.<n>We identify robust topological phases defined by a strictly quantized winding number $=-1$ and exponentially localized edge states.
  arXiv  Detail & Related papers  (2026-01-29T06:48:38Z)
• The Entropic Skin Spatial Entanglement from the QCD Confinement Boundary [0.0]
  We show that the confining boundary of the MIT Bag Model acts as an Entropic Skin'', generating maximal Spin-Position entanglement.<n>We discuss the implications of this result for Chiral Symmetry breaking and propose that this boundary entropy is the precursor to the pion cloud in effective field theories.
  arXiv  Detail & Related papers  (2025-12-13T17:31:38Z)
• Boundary Time Crystals: Beyond Mean-Field Theory [1.0066614394474322]
  Boundary time crystals spontaneously break continuous time-translation symmetry in the thermodynamic limit of open quantum systems.<n>In finite-size systems, the long-time evolution of boundary time crystals exhibits decaying oscillations that cannot be captured by widely used mean-field theory.<n>Our work provides a beyond-mean-field theoretical tool for studying the dynamics of periodically driven open quantum systems.
  arXiv  Detail & Related papers  (2025-10-03T14:09:17Z)
• Tuning Topological States by Dissipation [4.35429115299125]
  We investigate how the bulk-boundary correspondence breaks down by gradually tearing the system.<n>We find that by tuning the strength of gain and loss domain wall, in the thermodynamic limit, the global phase diagrams of the topological system become the hybrids of those under periodic and open boundary conditions.
  arXiv  Detail & Related papers  (2025-05-22T14:00:47Z)
• Controllable and Continuous Quantum Phase Transitions in Intrinsic Magnetic Topological Insulator [50.54133633499971]
  We study the intrinsic magnetic topological material MnBi2Te4 in which the heavy n-type doping features are strongly suppressed.<n>Based on angle-resolved photoemission spectroscopy, transport measurements, and first-principles calculations, we reveal two magnetism-induced TPTs.<n>Our work paves the way for the realization of intrinsic magnetic topological states in MnBi2Te4 family and provides an ideal platform for achieving controllable and continuous TPTs.
  arXiv  Detail & Related papers  (2025-03-08T03:46:54Z)
• Preparation and observation of anomalous counterpropagating edge states in a periodically driven optical Raman lattice [3.3463067879269865]
  We prepare and detect anomalous counterpropagating edge states in a two-dimensional periodically driven optical Raman lattice.<n>Results establish a theoretical framework for future experimental explorations of the AFVH phase and topological phenomena associated with its unique edge modes.
  arXiv  Detail & Related papers  (2024-11-21T08:47:29Z)
• A Floquet-Rydberg quantum simulator for confinement in $\mathbb{Z}_2$ gauge theories [44.99833362998488]
  Recent advances in the field of quantum technologies have opened up the road for the realization of small-scale quantum simulators. We present a scalable Floquet scheme for the quantum simulation of the real-time dynamics in a $mathbbZ$ LGT. We show that an observation of gauge-invariant confinement dynamics in the Floquet-Rydberg setup is at reach of current experimental techniques.
  arXiv  Detail & Related papers  (2023-11-28T13:01:24Z)
• Measurement phase transitions in the no-click limit as quantum phase transitions of a non-hermitean vacuum [77.34726150561087]
  We study phase transitions occurring in the stationary state of the dynamics of integrable many-body non-Hermitian Hamiltonians. We observe that the entanglement phase transitions occurring in the stationary state have the same nature as that occurring in the vacuum of the non-hermitian Hamiltonian.
  arXiv  Detail & Related papers  (2023-01-18T09:26:02Z)
• Fermion production at the boundary of an expanding universe: a cold-atom gravitational analogue [68.8204255655161]
  We study the phenomenon of cosmological particle production of Dirac fermions in a Friedman-Robertson-Walker spacetime. We present a scheme for the quantum simulation of this gravitational analogue by means of ultra-cold atoms in Raman optical lattices.
  arXiv  Detail & Related papers  (2022-12-02T18:28:23Z)
• Role of boundary conditions in the full counting statistics of topological defects after crossing a continuous phase transition [62.997667081978825]
  We analyze the role of boundary conditions in the statistics of topological defects. We show that for fast and moderate quenches, the cumulants of the kink number distribution present a universal scaling with the quench rate.
  arXiv  Detail & Related papers  (2022-07-08T09:55:05Z)
• Unraveling the topology of dissipative quantum systems [58.720142291102135]
  We discuss topology in dissipative quantum systems from the perspective of quantum trajectories. We show for a broad family of translation-invariant collapse models that the set of dark state-inducing Hamiltonians imposes a nontrivial topological structure on the space of Hamiltonians.
  arXiv  Detail & Related papers  (2020-07-12T11:26:02Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.