Quantum Dynamics of Dissipative Polarizable Media

• URL: http://arxiv.org/abs/2501.12070v1
• Date: Tue, 21 Jan 2025 11:48:32 GMT
• Title: Quantum Dynamics of Dissipative Polarizable Media
• Authors: Frank Ernesto Quintela Rodriguez, Piero Lafiosca, Tommaso Giovannini, Chiara Cappelli,
• Abstract summary: We present a Hamiltonian formulation for the quantum dynamics of polarizable sources. We derive a master equation describing the open dynamics of a quantum system interacting with the quantum polarizable medium.
• Score: 0.0
• License:
• Abstract: Classical polarizable approaches have become the gold standard for simulating complex systems and processes in the condensed phase. These methods describe intrinsically dissipative polarizable media, requiring a formal definition within the framework of open quantum systems. We present a Hamiltonian formulation for the quantum dynamics of polarizable sources based on a generalized theory of the damped harmonic oscillator, using pseudo-boson theory to characterize their coherent state dynamics. Exploiting the phase space formulation of quantum mechanics and the integrability of quadratic Hamiltonians, we derive a self-consistent relation for the emitted electric field of the polarizable medium under the semiclassical approximation, based on exact formulas for medium polarization. Finally, we derive the master equation describing the open dynamics of a quantum system interacting with the quantum polarizable medium, along with analytical expressions for correlation functions calculated over arbitrary Gaussian states.

Related papers

• Quantum optical scattering by macroscopic lossy objects: A general approach [55.2480439325792]
  We develop a general approach to describe the scattering of quantum light by a lossy macroscopic object placed in vacuum. We exploit the input-output relation to connect the output state of the field to the input one. We analyze the impact of the classical transmission and absorption dyadics on the transitions from ingoing to outgoing s-polariton.
  arXiv  Detail & Related papers  (2024-11-27T17:44:29Z)
• Bridging classical and quantum approaches in optical polarimetry: Predicting polarization-entangled photon behavior in scattering environments [36.89950360824034]
  We explore quantum-based optical polarimetry as a potential diagnostic tool for biological tissues. We develop a theoretical and experimental framework to understand polarization-entangled photon behavior in scattering media.
  arXiv  Detail & Related papers  (2024-11-09T10:17:47Z)
• The Bethe-Salpeter QED wave equation for bound-state computations of atoms and molecules [0.0]
  Quantum electrodynamics has been established by the mid-twentieth century, primarily as a scattering theory. bound states can be efficiently computed using robust and general methodologies. A computational framework, with initial applications and future challenges in relation with precision spectroscopy, is also highlighted.
  arXiv  Detail & Related papers  (2022-11-04T11:47:29Z)
• 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)
• Coupled Hydrodynamics in Dipole-Conserving Quantum Systems [0.0]
  We investigate the coupled dynamics of charge and energy in interacting lattice models with dipole conservation. We numerically verify its applicability to the late-time dynamics of a specific bosonic quantum system. We discuss the relation of our results to experiments in ultracold atom quantum simulators.
  arXiv  Detail & Related papers  (2022-01-21T19:00:01Z)
• 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)
• From geometry to coherent dissipative dynamics in quantum mechanics [68.8204255655161]
  We work out the case of finite-level systems, for which it is shown by means of the corresponding contact master equation. We describe quantum decays in a 2-level system as coherent and continuous processes.
  arXiv  Detail & Related papers  (2021-07-29T18:27:38Z)
• Molecular Interactions Induced by a Static Electric Field in Quantum Mechanics and Quantum Electrodynamics [68.98428372162448]
  We study the interaction between two neutral atoms or molecules subject to a uniform static electric field. Our focus is to understand the interplay between leading contributions to field-induced electrostatics/polarization and dispersion interactions.
  arXiv  Detail & Related papers  (2021-03-30T14:45:30Z)
• Diagonalization of Hamiltonian for finite-sized dispersive media: Canonical quantization with numerical mode-decomposition (CQ-NMD) [3.032299122358857]
  We present a new math-physics modeling approach, called canonical quantization with numerical mode-decomposition. We provide several numerical simulations that capture the physics of full quantum effects, impossible by classical Maxwell's equations.
  arXiv  Detail & Related papers  (2021-01-28T18:47:33Z)
• Quantum limit-cycles and the Rayleigh and van der Pol oscillators [0.0]
  Self-oscillating systems are emerging as canonical models for driven dissipative nonequilibrium open quantum systems. We derive an exact analytical solution for the steady-state quantum dynamics of the simplest of these models. Our solution is a generalization to arbitrary temperature of existing solutions for very-low, or zero, temperature.
  arXiv  Detail & Related papers  (2020-11-05T08:51:51Z)
• 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.