Quench dynamics in nonreciprocal Aubry-André-Harper model

• URL: http://arxiv.org/abs/2609.10342v1
• Date: Wed, 09 Sep 2026 15:38:19 GMT
• Title: Quench dynamics in nonreciprocal Aubry-André-Harper model
• Abstract summary: We study the anomalous behavior in the one-dimensional nonreciprocal Aubry-André-Harper model.<n>We find that DQPTs in this system are energy-resolved, in contrast to the energy-independent DQPTs of Hermitian quasicrystals.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: The critical phase of a non-Hermitian quasicrystal can support stronger transport than its surrounding delocalized phase. We demonstrate this anomalous behavior in the one-dimensional nonreciprocal Aubry-André-Harper model through a combined study of dynamical quantum phase transitions (DQPTs) and wavepacket diffusion. Using a parity-sorted energy-spectrum classification that directly encodes the generalized $\mathcal{PT}$ symmetry, we find that DQPTs in this system are energy-resolved, in contrast to the energy-independent DQPTs of Hermitian quasicrystals. The energy-resolved features are most pronounced when the initial and final Hamiltonians belong to different phases (localized or extended), and they are tied to the even-odd index structure of the spectrum, which we exploit to organize the quench-dynamical landscape. For wavepacket dynamics after a single-site quench, the diffusion exponent $β$, extracted from the long-time power-law scaling of the root-mean-square displacement $σ(τ)$, partitions the phase diagram into four distinct regimes. In the Hermitian limit the extended phase is ballistic ($β=1$), the critical phase is normally diffusive ($β=0.5$), and the localized phase yields $β\to 0$. Nonreciprocity reverses this hierarchy: the extended phase becomes normally diffusive, while the critical phase turns ballistic. We trace the anomalous $β=1$ at criticality to the self-similar multifractal structure of the critical eigenstates, whose nodal positions are organized by the golden ratio. A finite-size scaling ansatz built on the wave-front propagation yields $σ(τ)\proptoτ$. The parity-resolved DQPTs and the $β$-phase diagram establish two complementary dynamical diagnostics of nonreciprocal quasicrystals, in which nonreciprocity promotes transport at the critical point and suppresses it in the delocalized phase.

Related papers

• BMN Spread Complexity Across Phase Transitions [0.0]
  We investigate the dynamical behavior and spread complexity of quantum states within the mass-deformed BMN matrix model.<n>We model the dynamics via a charged Thermofield Double state and trace the evolution of spread complexity across three distinct thermodynamic regimes.
  arXiv  Detail & Related papers  (2026-08-30T14:34:03Z)
• Nonlocality-induced critical-length hierarchy from non-Hermitian competition [48.9823527611878]
  In short-range systems formed by two coupled chains, competition leads to the critical-length law $N_csimln D$.<n>Here we show that long-range hoppings fundamentally reorganizes this critical behavior, producing a hierarchy of distinct scaling laws.<n>Our results offer a platform-independent framework testable in programmable topoelectrical circuits, photonic lattices and digital quantum simulators.
  arXiv  Detail & Related papers  (2026-08-03T18:00:18Z)
• Unconventional Quantum Criticality in Long-Range Spin-1 Chains: Insights from Entanglement Entropy and Bipartite Fluctuations [1.7785452483505753]
  We resolve the continuous quantum phase transition between the gapped Haldane phase at large $$ and a gapless antiferromagnetically ordered Néel phase at small $$.<n>From finite-size scaling and crossing point analyses, we determine the critical point to be at $_c = 2.48(2)$ and extract the associated critical exponents.<n>We further analyze the scaling of entanglement entropy and bipartite fluctuations across the transition, and determine the corresponding universal scalings in both phases and at criticality.
  arXiv  Detail & Related papers  (2026-04-22T17:57:08Z)
• Symmetry-protected topology and deconfined solitons in a multi-link $\mathbb{Z}_2$ gauge theory [45.88028371034407]
  We study a $mathbbZ$ lattice gauge theory defined on a multi-graph with links that can be visualized as great circles of a spherical shell.<n>We show that this leads to state-dependent tunneling amplitudes underlying a phenomenon analogous to the Peierls instability.<n>By performining a detailed analysis based on matrix product states, we prove that charge deconfinement emerges as a consequence of charge-fractionalization.
  arXiv  Detail & Related papers  (2026-03-02T22:59:25Z)
• Eigenstate thermalization in thermal first-order phase transitions [39.146761527401424]
  The eigenstate thermalization hypothesis (ETH) posits how isolated quantum many-body systems thermalize.<n>We show that it requires generalization in the presence of thermal first-order phase transitions.
  arXiv  Detail & Related papers  (2026-01-13T09:07:46Z)
• Tailoring Dynamical Quantum Phase Transitions via Double-Mode Squeezing Manipulation [6.974619634183539]
  We propose a protocol to tailor dynamical quantum phase transitions (DQPTs) by double-mode squeezing on the initial state in the XY chain.<n>Our work establishes initial-state squeezing as a versatile tool for tailoring far-from-equilibrium criticality.
  arXiv  Detail & Related papers  (2026-01-07T01:21:40Z)
• Theta-term in Russian Doll Model: phase structure, quantum metric and BPS multifractality [45.88028371034407]
  We investigate the phase structure of the deterministic and disordered versions of the Russian Doll Model (RDM)<n>We find the pattern of phase transitions in the global charge $Q(theta,gamma)$, which arises from the BA equation.<n>We conjecture that the Hamiltonian of the RDM model describes the mixing in particular 2d-4d BPS sector of the Hilbert space.
  arXiv  Detail & Related papers  (2025-10-23T17:25:01Z)
• Superradiant phase transitions in the quantum Rabi model: Overcoming the no-go theorem through anisotropy [30.342686040430962]
  Superradiant phase transition (SRPT) is prohibited in the paradigmatic quantum Rabi model.<n>We show two distinct types of SRPTs emerging from the normal phase in the anisotropic quantum Rabi model.
  arXiv  Detail & Related papers  (2024-12-11T11:33:29Z)
• Tunable quantum criticality and pseudocriticality across the fixed-point annihilation in the anisotropic spin-boson model [0.26107298043931204]
  We study the nontrivial renormalization-group scenario of fixed-point annihilation in spin-boson models. We find a tunable transition between two localized phases that can be continuous or strongly first-order. We also find scaling behavior at the symmetry-enhanced first-order transition, for which the inverse correlation-length exponent is given by the bath exponent.
  arXiv  Detail & Related papers  (2024-03-04T19:00:07Z)
• Superdiffusion in random two dimensional system with time-reversal symmetry and long-range hopping [45.873301228345696]
  localization problem in the crossover regime for the dimension $d=2$ and hopping $V(r) propto r-2$ is not resolved yet. We show that for the hopping determined by two-dimensional anisotropic dipole-dipole interactions there exist two distinguishable phases at weak and strong disorder.
  arXiv  Detail & Related papers  (2022-05-29T16:53:20Z)
• Dynamics of a quantum phase transition in the Aubry-Andr\'{e}-Harper model with $p$-wave superconductivity [0.0]
  We investigate the nonequilibrium dynamics of the one-dimension Aubry-Andr'e-Harper model with $p$-wave superconductivity. We study the slow quench dynamics from localized phase to critical phase by linearly decreasing the potential strength $V$. We also study the sudden quench dynamics between three different phases: localized phase, critical phase, and extended phase.
  arXiv  Detail & Related papers  (2020-12-13T08:25:15Z)
• Anisotropy-mediated reentrant localization [62.997667081978825]
  We consider a 2d dipolar system, $d=2$, with the generalized dipole-dipole interaction $sim r-a$, and the power $a$ controlled experimentally in trapped-ion or Rydberg-atom systems. We show that the spatially homogeneous tilt $beta$ of the dipoles giving rise to the anisotropic dipole exchange leads to the non-trivial reentrant localization beyond the locator expansion.
  arXiv  Detail & Related papers  (2020-01-31T19:00:01Z)

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.