Wave packet landscape in linear open quantum systems

• URL: http://arxiv.org/abs/2605.15658v1
• Date: Fri, 15 May 2026 06:28:17 GMT
• Title: Wave packet landscape in linear open quantum systems
• Abstract summary: Instead of treating diffusion, localization, and collapse of the wave packet as separate dynamical phenomena, we show that they originate from the symmetry structure of an underlying landscape.<n>This geometric picture provides a unified origin for wave-packet diffusion, localization, and collapse in dissipative quantum dynamics.
• Score: 2.072987206582992
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We develop a quantum landscape approach to characterize the long-time behavior of wave packet spreading in linear open quantum systems. Instead of treating diffusion, localization, and collapse of the wave packet as separate dynamical phenomena, we show that they originate from the symmetry structure of an underlying landscape in covariance space. The geometry of this landscape determines these distinct long time behaviors. Trapping potentials and bath fluctuations act as distinct symmetry-breaking perturbations, leading to noncommuting long-time limits and abrupt changes in the asymptotic wave-packet width. This geometric picture provides a unified origin for wave-packet diffusion, localization, and collapse in dissipative quantum dynamics.

Related papers

• Geometric curvature driven by many-body collective fluctuations [45.88028371034407]
  Recently, it has been emphasized that quantum geometry can be interpreted in terms of quantum dipole fluctuations in the ground state driven by interband mixing.<n>Here, we extend this picture to include contributions from many-body collective fluctuations.<n>We show that contributions from collective fluctuations can be experimentally distinguished from bare band-geometric contributions.
  arXiv  Detail & Related papers  (2026-05-19T13:13:37Z)
• A Wasserstein Geometric Framework for Hebbian Plasticity [0.0]
  We introduce a geometric theory of Hebbian plasticity in which memory states are modeled as probability measures evolving through Wasserstein minimizing movements.<n>This variational structure induces a fundamental separation between internal and observable dynamics.
  arXiv  Detail & Related papers  (2026-04-17T13:27:22Z)
• Dynamic and Geometric Shifts in Wave Scattering [0.0]
  Since Berry's pioneering 1984 work, the separation of geometric and dynamic contributions in an evolving wave has become fundamental in physics.<n>Here we extend this geometric-dynamic decomposition from the wave-evolution phase to a distinct class of wave scattering problems.<n>We show that both the Wigner-Smith operator and the expectation-values shifts admit gauge-invariant decompositions into dynamic and geometric parts.<n>This unifying framework illuminates the interplay between geometry and dynamics in wave scattering and can be applied to a broad range of physical systems.
  arXiv  Detail & Related papers  (2025-06-08T13:47:32Z)
• Controlling Excitation Localization in Waveguide QED Systems [0.4999814847776098]
  We study localization and long-time population trapping in quantum emitters coupled to a waveguide.<n>We find two distinct mechanisms that give rise to localization: geometry-induced subradiance and disorder-induced Anderson-like confinement.<n>These results establish geometry and disorder as complementary tools for engineering long-lived quantum states in waveguide QED systems.
  arXiv  Detail & Related papers  (2025-05-27T08:24:51Z)
• Quantum Brownian motion induced by fluctuating boundaries and compactification [0.0]
  We investigate the quantum Brownian motion of a point charge arising as a consequence of two fluctuating point-like boundaries.<n>By associating a wave function with the length scale of each system, we demonstrate that typical divergences, which commonly appear in scenarios with fixed boundaries and compactification size, are effectively smoothed out.
  arXiv  Detail & Related papers  (2025-03-23T00:09:46Z)
• Dispersive shock waves in a one-dimensional droplet-bearing environment [7.370081795303041]
  We demonstrate the controllable generation of distinct types of dispersive shock-waves emerging in a quantum droplet bearing environment. Surprisingly, dispersive shock waves persist across the hyperbolic-to-elliptic threshold. A plethora of additional wave patterns arise, such as rarefaction waves, traveling dispersive shock waves, (anti)kinks and droplet wavetrains.
  arXiv  Detail & Related papers  (2024-04-03T18:39:57Z)
• Radiative transport in a periodic structure with band crossings [47.82887393172228]
  We derive the semi-classical model for the Schr"odinger equation in arbitrary spatial dimensions. We consider both deterministic and random scenarios. As a specific application, we deduce the effective dynamics of a wave packet in graphene with randomness.
  arXiv  Detail & Related papers  (2024-02-09T23:34:32Z)
• Entanglement and localization in long-range quadratic Lindbladians [49.1574468325115]
  Signatures of localization have been observed in condensed matter and cold atomic systems. We propose a model of one-dimensional chain of non-interacting, spinless fermions coupled to a local ensemble of baths. We show that the steady state of the system undergoes a localization entanglement phase transition by tuning $p$ which remains stable in the presence of coherent hopping.
  arXiv  Detail & Related papers  (2023-03-13T12:45:25Z)
• Geometric phases along quantum trajectories [58.720142291102135]
  We study the distribution function of geometric phases in monitored quantum systems. For the single trajectory exhibiting no quantum jumps, a topological transition in the phase acquired after a cycle. For the same parameters, the density matrix does not show any interference.
  arXiv  Detail & Related papers  (2023-01-10T22:05:18Z)
• 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)
• Zitterbewegung and Klein-tunneling phenomena for transient quantum waves [77.34726150561087]
  We show that the Zitterbewegung effect manifests itself as a series of quantum beats of the particle density in the long-time limit. We also find a time-domain where the particle density of the point source is governed by the propagation of a main wavefront. The relative positions of these wavefronts are used to investigate the time-delay of quantum waves in the Klein-tunneling regime.
  arXiv  Detail & Related papers  (2020-03-09T21:27:02Z)

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.