Husimi dynamics generated by non-Hermitian Hamiltonians

• URL: http://arxiv.org/abs/2212.03719v2
• Date: Tue, 11 Apr 2023 15:53:41 GMT
• Title: Husimi dynamics generated by non-Hermitian Hamiltonians
• Authors: Katherine Holmes, Wasim Rehman, Simon Malzard, and Eva-Maria Graefe
• Abstract summary: We analyse the dynamics of the Husimi distribution in a semiclassical limit. We show how the full quantum dynamics unfolds on top of the classical Husimi dynamics.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The dynamics generated by non-Hermitian Hamiltonians are often less intuitive than those of conventional Hermitian systems. Even for models as simple as a complexified harmonic oscillator, the dynamics for generic initial states shows surprising features. Here we analyse the dynamics of the Husimi distribution in a semiclassical limit, illuminating the foundations of the full quantum evolution. The classical Husimi evolution is composed of two factors, (i) the initial Husimi distribution evaluated along phase-space trajectories, and (ii) the final value of the norm corresponding to each phase-space point. Both factors conspire to lead to intriguing dynamical behaviours. We demonstrate how the full quantum dynamics unfolds on top of the classical Husimi dynamics for two instructive examples.

Related papers

• Quantum Simulation of Nonlinear Dynamical Systems Using Repeated Measurement [42.896772730859645]
  We present a quantum algorithm based on repeated measurement to solve initial-value problems for nonlinear ordinary differential equations. We apply this approach to the classic logistic and Lorenz systems in both integrable and chaotic regimes.
  arXiv  Detail & Related papers  (2024-10-04T18:06:12Z)
• Dynamics of inhomogeneous spin ensembles with all-to-all interactions: breaking permutational invariance [49.1574468325115]
  We investigate the consequences of introducing non-uniform initial conditions in the dynamics of spin ensembles characterized by all-to-all interactions. We find that the dynamics of the spin ensemble now spans a more expansive effective Hilbert space.
  arXiv  Detail & Related papers  (2023-09-19T16:44:14Z)
• Classifying the universal coarsening dynamics of a quenched ferromagnetic condensate [0.052777567033180435]
  Scale universality and self-similarity in physics provide a unified framework to classify phases of matter and dynamical properties of near-equilibrium systems. Here, we report on the first classification of universal coarsening dynamics in a ferromagnetic spinor gas. Our results represent a paradigmatic example of categorizing far-from-equilibrium dynamics in quantum many-body systems.
  arXiv  Detail & Related papers  (2023-03-09T13:08:38Z)
• Entanglement dynamics and classical complexity [0.0]
  We study the dynamical generation of entanglement for a two-body interacting system, starting from a separable coherent state. We show analytically that in the quasiclassical regime the entanglement growth rate can be simply computed by means of the underlying classical dynamics.
  arXiv  Detail & Related papers  (2022-11-21T07:01:39Z)
• Anatomy of Dynamical Quantum Phase Transitions [0.0]
  We study periodic dynamical quantum phase transitions (DQPTs) directly connected to the zeros of a Landau order parameter (OP) We find that a DQPT signals a change in the dominant contribution to the wave function in the degenerate initial-state manifold. Our work generalizes previous results and reveals that, in general, periodic DQPTs comprise complex many-body dynamics fundamentally beyond that of two-level systems.
  arXiv  Detail & Related papers  (2022-10-05T18:00:00Z)
• Spreading of a local excitation in a Quantum Hierarchical Model [62.997667081978825]
  We study the dynamics of the quantum Dyson hierarchical model in its paramagnetic phase. An initial state made by a local excitation of the paramagnetic ground state is considered. A localization mechanism is found and the excitation remains close to its initial position at arbitrary times.
  arXiv  Detail & Related papers  (2022-07-14T10:05:20Z)
• 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)
• Semi-classical quantisation of magnetic solitons in the anisotropic Heisenberg quantum chain [21.24186888129542]
  We study the structure of semi-classical eigenstates in a weakly-anisotropic quantum Heisenberg spin chain. Special emphasis is devoted to the simplest types of solutions, describing precessional motion and elliptic magnetisation waves.
  arXiv  Detail & Related papers  (2020-10-14T16:46:11Z)
• Classical and quantum dynamical manifestations of index-2 saddles: concerted versus sequential reaction mechanisms [0.0]
  We study the presence of higher index saddles on a multidimensional potential energy surface. We show that the ultrafast shift of the mechanism from a concerted to a stepwise one is essentially a classical dynamical effect.
  arXiv  Detail & Related papers  (2020-09-16T14:39:20Z)
• 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)
• The nonlinear semiclassical dynamics of the unbalanced, open Dicke model [0.0]
  The Dicke model exhibits a quantum phase transition to a state in which the atoms collectively emit light into the cavity mode, known as superradiance. We study this system in the semiclassical (mean field) limit, neglecting the role of quantum fluctuations. We find that a flip of the collective spin can result in the sudden emergence of chaotic dynamics.
  arXiv  Detail & Related papers  (2020-04-09T11:13:20Z)

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.