Anisotropic dynamical reconstruction of quantum geometry in quenched Chern insulators

• URL: http://arxiv.org/abs/2608.20895v1
• Date: Fri, 21 Aug 2026 09:13:59 GMT
• Title: Anisotropic dynamical reconstruction of quantum geometry in quenched Chern insulators
• Abstract summary: Under unitary dynamics, the Chern number of an evolving quantum state remains conserved even when a quench drives the Hamiltonian.<n>We reveal an anisotropic dynamical reconstruction of the quantum metric.<n>Our results establish a nonequilibrium mechanism by which coherent dynamics reorganizes quantum geometry.
• Score: 7.91669841277196
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Under unitary dynamics, the Chern number of an evolving quantum state remains conserved even when a quench drives the Hamiltonian across a topological phase transition. In sharp contrast, we reveal an anisotropic dynamical reconstruction of the quantum metric. Following a sudden quench in a two-dimensional Chern insulator, the metric develops a principal frame in which one eigenvalue grows in time whereas the other remains nearly unchanged. At long times, the associated axes align with the energy-gradient direction and the tangent direction of the constant-energy contours of the post-quench Hamiltonian, respectively. This dynamically selected frame is distinct from that of the static post-quench ground-state metric. We identify momentum-dependent relative dynamical phases as its origin: they enhance the distinguishability of neighboring states separated along the energy-gradient direction, while states along an equal-energy contour remain nearly phase locked. Consequently, local and global metric observables acquire characteristic long-time signatures of the post-quench Hamiltonian. Our results establish a nonequilibrium mechanism by which coherent dynamics reorganizes quantum geometry, suggesting new possibilities for its dynamical control.

Related papers

• Experimental Observation of Dynamical Phase Transitions in a Dephased Photonic Quantum Walk [12.497539919158582]
  Dynamical phase transitions in open quantum systems govern how non-equilibrium states relax toward a stationary state.<n>We study these transitions experimentally using a discrete-time photonic quantum walk on a three-node graph.<n>Our results link Liouvillian spectral topology to relaxation criticality and demonstrate a controllable platform for engineered dissipative dynamics.
  arXiv  Detail & Related papers  (2026-06-14T17:26:15Z)
• 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)
• Ergotropy from Geometric Phases in a Dephasing Qubit [45.88028371034407]
  We analyze the geometric phase and dynamic phase acquired by a qubit coupled to an environment through pure dephasing.<n>We show that the dynamic phase depends solely on the incoherent ergotropy, reflecting its purely energetic origin.<n>The geometric phase exhibits a nontrivial dependence on both the coherent and incoherent contributions to the total ergotropy.
  arXiv  Detail & Related papers  (2026-03-01T14:22:37Z)
• Topological phase dynamics described by overtone-synthesized classical and quantum Adler equations [0.48342038441006796]
  We extend the model to include overtone-synthesized sinusoidal coupling with adiabatic temporal modulation.<n>We extend the analysis to the quantum regime, where we find a counterintuitive result: the breakdown of winding-number quantization.
  arXiv  Detail & Related papers  (2026-02-25T00:06:56Z)
• Unravelling the emergence of quantum jumps in a monitored qubit [29.627676149627302]
  Quantum jumps are among the most striking consequences of observation in quantum mechanics.<n>We map measurement-induced transitions in a monitored superconducting qubit.<n>Results reveal that the interplay between coherent driving, measurement, and decoherence gives rise to a hierarchy of distinct dynamical phases.
  arXiv  Detail & Related papers  (2026-02-02T19:00:10Z)
• Realization of Trapped Ion Dynamics in the Strong-Field Regime and Non-Markovianity [33.781064984238775]
  We experimentally investigate the dynamics of a trapped ion where the Rabi frequency (Omega) approaches the vibrational mode frequency (nu)<n>Using quantum state tomography, we reconstruct the density matrix and track its evolution to assess non-Markovianity.<n>Our findings establish a pathway for using trapped-ion platforms to investigate non-Markovianity, coherent control, and the fundamental behavior of open quantum systems in extreme regimes.
  arXiv  Detail & Related papers  (2025-10-23T11:25:09Z)
• Dissipative quantum North-East-Center model: steady-state phase diagram, universality and nonergodic dynamics [0.0]
  We study the dissipative quantum North-East-Center model.<n>We study the dynamics of minority islands of spins surrounded by a large background of spins pointing in the opposite direction.
  arXiv  Detail & Related papers  (2025-06-23T18:05:53Z)
• 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.<n>We show that the steady state is obtained by filling single-particle right eigenstates with the largest imaginary part of the eigenvalue.<n>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)
• Emerging topological characterization in non-equilibrium states of quenched Kitaev chains [0.0]
  Topological characteristics of quantum systems are determined by the closing of a gap. The dynamical quantum phase transition (DQPT) during quantum real-time evolution has emerged as a nonequilibrium analog to the quantum phase transition (QPT)
  arXiv  Detail & Related papers  (2023-11-14T10:26:15Z)
• Engineered dissipation induced entanglement transition in quantum spin chains: from logarithmic growth to area law [0.0]
  Recent theoretical work has shown that the competition between coherent unitary dynamics and measurements can give rise to transitions in the entanglement scaling. We consider an engineered dissipation, which stabilizes an entangled phase of a quantum spin$-1/2$ chain. We find that the system undergoes an entanglement transition from a logarithmic growth to an area law when the competition ratio between the unitary evolution and the non-unitary dynamics increases.
  arXiv  Detail & Related papers  (2021-06-18T12:41:01Z)
• 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.