Formations of generalized Wannier-Stark ladders: Theorem and applications

• URL: http://arxiv.org/abs/2411.11897v1
• Date: Sun, 10 Nov 2024 10:29:51 GMT
• Title: Formations of generalized Wannier-Stark ladders: Theorem and applications
• Abstract summary: Wannier-Stark ladder (WSL) is a basic concept, supporting periodic oscillation. We investigate the formations of WSL in generalized systems, including strongly correlated and non-Hermitian systems. It is shown that the Bloch-Zener oscillations of correlated bosons are particularly remarkable under resonant conditions.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The Wannier-Stark ladder (WSL) is a basic concept, supporting periodic oscillation, widely used in many areas of physics. In this paper, we investigate the formations of WSL in generalized systems, including strongly correlated and non-Hermitian systems. We present a theorem on the existence of WSL for a set of general systems that are translationally symmetric before the addition of a linear potential. For a non-Hermitian system, the WSL becomes complex but maintains a real energy level spacing. We illustrate the theorem using 1D extended Bose-Hubbard models with both real and imaginary hopping strengths. It is shown that the Bloch-Zener oscillations of correlated bosons are particularly remarkable under resonant conditions. Numerical simulations for cases with boson numbers $n=2$, $3$, and $4$ are presented. Analytical and numerical results for the time evolution of the $n$-boson-occupied initial state indicate that all evolved states exhibit quasi periodic oscillations, but with different profiles, depending on the Hermiticity and interaction strength.

Related papers

• The problem of time: a path integral view [47.21208639026933]
  We show how Schrdinger evolution emerges once a clock degree of freedom is identified and placed in a semiclassical good-clock state'<n>Our analysis has a consequence that extends to path integral formulations of generally covariant systems with action $S$ (including gravity)
  arXiv  Detail & Related papers  (2026-05-18T06:43:38Z)
• Anomalous Mixed-State Floquet Topology in One-Dimensional Open Quantum Systems [41.99844472131922]
  We investigate the non-equilibrium topology of a periodically driven, dissipative Su-Schrieffer-Heeger chain.<n>We show that the steady state can be characterised by a Hermitian purity spectrum.<n>We identify a pair of topological invariants $(0_mathrmEGP, _mathrmEGP)$, revealing a structure consistent with a $mathbbZtimesmathbbZ$ classification known from isolated Floquet SSH systems.
  arXiv  Detail & Related papers  (2026-04-28T05:54:40Z)
• Typical entanglement in anyon chains: Page curves beyond Lie group symmetries [41.99844472131922]
  We study bipartite entanglement statistics in one-dimensional anyon chains constrained by fusion rules of unitary pre-modular categories.<n>Surprisingly, despite the constrained Hilbert space structure, the large $L$ expansion has no universal $O(sqrtL)$ or $O(1)$ symmetry-type corrections.<n> Numerical simulations of the integrable and quantum-chaotic golden chain Hamiltonian show that chaotic mid-spectrum eigenstates match the Haar-random predictions.
  arXiv  Detail & Related papers  (2026-03-26T18:00:03Z)
• Critical Unstable Qubits in Particle Physics [0.0]
  We study in detail the dynamics of unstable two-level quantum systems by adopting the Bloch-vector representation.<n>We find that critical unstable qubit systems exhibit atypical behaviours like coherence--decoherence oscillations.<n>We provide a compilation table of all well-explored meson--antimeson two-level systems in terms of Bloch-sphere parameters.
  arXiv  Detail & Related papers  (2026-03-12T15:28:18Z)
• $\mathcal{PT}$-Symmetric Spin--Boson Model with a Continuous Bosonic Spectrum: Exceptional Points and Dynamics [2.631933359112648]
  This work studies a $mathcalPT$-symmetric non-Hermitian spin--boson model.<n>The time evolution of observables is investigated via the Dirac--Frenkel time-dependent variational principle.<n>Results shed light on how $mathcalPT$ symmetry protects coherent light-matter interactions in non-Hermitian quantum systems.
  arXiv  Detail & Related papers  (2025-12-23T11:31:00Z)
• Sticky eigenstates in systems with sharply-divided phase space [4.589646880507029]
  We investigate mixed eigenstates in systems with sharply-divided phase space.<n>With the overlap index and the entropy localization length, we classify mixed eigenstates.<n>The dominant fraction of states that remain sticky to the boundaries, referred to as sticky eigenstates, scales as $hbar1/2$ in the MUPO case.
  arXiv  Detail & Related papers  (2025-12-05T11:12:55Z)
• Symmetries, Conservation Laws and Entanglement in Non-Hermitian Fermionic Lattices [37.69303106863453]
  Non-Hermitian quantum many-body systems feature steady-state entanglement transitions driven by unitary dynamics and dissipation. We show that the steady state is obtained by filling single-particle right eigenstates with the largest imaginary part of the eigenvalue. We illustrate these principles in the Hatano-Nelson model with periodic boundary conditions and the non-Hermitian Su-Schrieffer-Heeger model.
  arXiv  Detail & Related papers  (2025-04-11T14:06:05Z)
• Theory of the correlated quantum Zeno effect in a monitored qubit dimer [41.94295877935867]
  We show how the competition between two measurement processes give rise to two distinct Quantum Zeno (QZ) regimes. We develop a theory based on a Gutzwiller ansatz for the wavefunction that is able to capture the structure of the Hilbert phase diagram. We show how the two QZ regimes are intimately connected to the topology of the flow of the underlying non-Hermitian Hamiltonian governing the no-click evolution.
  arXiv  Detail & Related papers  (2025-03-28T19:44:48Z)
• Dynamics of Pseudoentanglement [0.03320194947871346]
  dynamics of quantum entanglement plays a central role in explaining the emergence of thermal equilibrium in isolated many-body systems. Recent works have introduced a notion of pseudoentanglement describing ensembles of many-body states. This prompts the question: how much entanglement is truly necessary to achieve thermal equilibrium in quantum systems?
  arXiv  Detail & Related papers  (2024-03-14T17:54:27Z)
• Exploring Hilbert-Space Fragmentation on a Superconducting Processor [23.39066473461786]
  Isolated interacting quantum systems generally thermalize, yet there are several counterexamples for the breakdown of ergodicity. Recently, ergodicity breaking has been observed in systems subjected to linear potentials, termed Stark many-body localization. Here, we experimentally explore initial-state dependent dynamics using a ladder-type superconducting processor with up to 24 qubits.
  arXiv  Detail & Related papers  (2024-03-14T04:39:14Z)
• Generalized Josephson effect in an asymmetric double-well potential at finite temperatures [0.0]
  We investigate a non-interacting many-particle bosonic system placed in an asymmetric double-well potential. We go beyond the regime of global coherence by developing a formalism based on an effective density matrix. Our model leads to a constraint on the maximum amplitude of Josephson oscillations for a given temperature and the total number of particles.
  arXiv  Detail & Related papers  (2023-12-13T09:18:43Z)
• Quantum Lyapunov exponent in dissipative systems [68.8204255655161]
  The out-of-time order correlator (OTOC) has been widely studied in closed quantum systems. We study the interplay between these two processes. The OTOC decay rate is closely related to the classical Lyapunov.
  arXiv  Detail & Related papers  (2022-11-11T17:06:45Z)
• Reasoning About Causal Models With Infinitely Many Variables [14.505867475659274]
  We provide a sound and complete axiomatization of causal reasoning in GSEMs. Considering GSEMs helps clarify what properties Halpern's axioms capture.
  arXiv  Detail & Related papers  (2021-12-21T17:03:45Z)
• Entanglement dynamics of spins using a few complex trajectories [77.34726150561087]
  We consider two spins initially prepared in a product of coherent states and study their entanglement dynamics. We adopt an approach that allowed the derivation of a semiclassical formula for the linear entropy of the reduced density operator.
  arXiv  Detail & Related papers  (2021-08-13T01:44:24Z)
• Linear growth of the entanglement entropy for quadratic Hamiltonians and arbitrary initial states [11.04121146441257]
  We prove that the entanglement entropy of any pure initial state of a bosonic quantum system grows linearly in time. We discuss several applications of our results to physical systems with (weakly) interacting Hamiltonians and periodically driven quantum systems.
  arXiv  Detail & Related papers  (2021-07-23T07:55:38Z)
• Lieb-Robinson bound and almost-linear light-cone in interacting boson systems [0.0]
  We investigate how quickly local perturbations propagate in boson interacting systems with Bose-Hubbard-type Hamiltonians. We focus on a specific but experimentally natural situation in which the number of bosons at any one site in the unperturbed initial state is approximately limited.
  arXiv  Detail & Related papers  (2021-03-22T05:41:01Z)
• Complete entropic inequalities for quantum Markov chains [17.21921346541951]
  We prove that every GNS-symmetric quantum Markov semigroup on a finite dimensional algebra satisfies a modified log-Sobolev inequality. We also establish the first general approximateization property of relative entropy.
  arXiv  Detail & Related papers  (2021-02-08T11:47:37Z)
• Boundary time crystals in collective $d$-level systems [64.76138964691705]
  Boundary time crystals are non-equilibrium phases of matter occurring in quantum systems in contact to an environment. We study BTC's in collective $d$-level systems, focusing in the cases with $d=2$, $3$ and $4$.
  arXiv  Detail & Related papers  (2021-02-05T19:00:45Z)
• Spectral statistics in constrained many-body quantum chaotic systems [0.0]
  We study the spectral statistics of spatially-extended many-body quantum systems with on-site Abelian symmetries or local constraints. In particular, we analytically argue that in a system of length $L$ that conserves the $mth$ multipole moment, $t_mathrmTh$ scales subdiffusively as $L2(m+1)$.
  arXiv  Detail & Related papers  (2020-09-24T17:59:57Z)
• Time-periodic quantum states of weakly interacting bosons in a harmonic trap [0.0]
  We consider identical quantum bosons with weak contact interactions in a two-dimensional isotropic harmonic trap, and focus on states at the Lowest Landau Level (LLL) We exploit the rich algebraic structure of the problem to give an explicit construction of a large family of quantum states with energies of the form $E_0+gE_1/4+O(g2)$. As a result, any superposition of these states evolves periodically with a period of at most $8pi/g$ until, at much longer time scales of order $1/g2$, corrections to the energies of order $g
  arXiv  Detail & Related papers  (2020-03-07T23:32:10Z)

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.