Open system dynamics from fundamental Lagrangian

• URL: http://arxiv.org/abs/2403.14752v1
• Date: Thu, 21 Mar 2024 18:00:03 GMT
• Title: Open system dynamics from fundamental Lagrangian
• Authors: Anirudh Gundhi, Oliviero Angeli, Angelo Bassi,
• Abstract summary: We show that two Lagrangians that differ by a total derivative can lead to different physical predictions. We derive the master equation for the non-relativistic electron interacting with thermal photons upto second order.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Lagrangians can differ by a total derivative without altering the equations of motion, thus encoding the same physics. This is in general true both classically and quantum mechanically. We show, however, that in the context of open quantum systems, two Lagrangians that differ by a total derivative can lead to different physical predictions. We then discuss the criterion that allows one to choose between such Lagrangians. Further, starting from the appropriate QED Lagrangian, we derive the master equation for the non-relativistic electron interacting with thermal photons upto second order in the interactions. This case study lends further phenomenological support to our proposed criterion.

Related papers

• Boltzmann to Lindblad: Classical and Quantum Approaches to Out-of-Equilibrium Statistical Mechanics [0.8351309125845637]
  Open quantum systems play a central role in nanoscale technologies, including molecular electronics, quantum heat engines, quantum computation information processing.<n>A major theoretical challenge is to construct dynamical models that are simultaneously consistent with classical thermodynamics and complete positivity.<n>We develop a framework that addresses this issue by extending classical dynamics to the quantum domain.
  arXiv  Detail & Related papers  (2025-12-12T14:50:28Z)
• Quantum Potential from the Material Derivative of the Osmotic Velocity: A Two-Fluid Madelung Framework [0.0]
  We derive the quantum potential directly from the material derivative of the osmotic velocity.<n>We formulate a two-fluid model that reproduces the Madelung equations.
  arXiv  Detail & Related papers  (2025-09-02T22:33:01Z)
• Enhancing wave-particle duality [0.0]
  We quantise mechanical point particles in the same physically-motivated way as we quantise light in quantum electrodynamics. In the resulting quantum theory, particles can occupy any position while moving at any velocity.
  arXiv  Detail & Related papers  (2025-03-25T21:25:41Z)
• Quantum Circuits for the heat equation with physical boundary conditions via Schrodingerisation [33.76659022113328]
  This paper explores the explicit design of quantum circuits for quantum simulation of partial differential equations (PDEs) with physical boundary conditions. We present two methods for handling the inhomogeneous terms arising from time-dependent physical boundary conditions. We then apply the quantum simulation technique from [CJL23] to transform the resulting non-autonomous system to an autonomous system in one higher dimension.
  arXiv  Detail & Related papers  (2024-07-22T03:52:14Z)
• Self-consistency, relativism and many-particle system [0.0]
  Interrelation between concepts of self-consistency, relativism and many-particle systems is considered. Paper shows that quantum systems with a time independent function of quasi-density probability in phase space are not capable to emit electromagnetic radiation.
  arXiv  Detail & Related papers  (2024-04-21T08:38:40Z)
• Amorphous quantum magnets in a two-dimensional Rydberg atom array [44.99833362998488]
  We propose to explore amorphous quantum magnets with an analog quantum simulator. We first present an algorithm to generate amorphous quantum magnets, suitable for Rydberg simulators of the Ising model. We then use semiclassical approaches to get a preliminary insight of the physics of the model.
  arXiv  Detail & Related papers  (2024-02-05T10:07:10Z)
• Quantum mechanics without quantum potentials [0.0]
  Non-locality in quantum mechanics can be resolved by considering relativistically covariant diffusion in spacetime. We introduce the concept of momentum equilinear to replace the second-order Bohm-Newton equations of motion.
  arXiv  Detail & Related papers  (2024-01-08T18:51:38Z)
• Quantum simulation of Maxwell's equations via Schr\"odingersation [27.193565893837356]
  We present quantum algorithms for electromagnetic fields governed by Maxwell's equations. The algorithms are based on the Schr"odingersation approach. Instead of qubits, the quantum algorithms can also be formulated in the continuous variable quantum framework.
  arXiv  Detail & Related papers  (2023-08-16T14:52:35Z)
• A Fisher Information Perspective of Relativistic Quantum Mechanics [0.0]
  We show how Schrodinger's equation can be deduced from a fluid dynamical Lagrangian of a charged potential flow. The quantum behaviour was derived from Fisher information terms which were added to the classical Lagrangian.
  arXiv  Detail & Related papers  (2023-08-01T08:36:30Z)
• Gauge-Invariant Semi-Discrete Wigner Theory [0.0]
  A gauge-invariant Wigner quantum mechanical theory is obtained by applying the Weyl-Stratonovich transform to the von Neumann equation for the density matrix. We derive the evolution equation for the linear electromagnetic case and show that it significantly simplifies for a limit dictated by the long coherence length behavior.
  arXiv  Detail & Related papers  (2022-08-19T08:19:09Z)
• Partition of kinetic energy and magnetic moment in dissipative diamagnetism [20.218184785285132]
  We analyze dissipative diamagnetism, arising due to dissipative cyclotron motion in two dimensions, in the light of the quantum counterpart of energy equipartition theorem. The expressions for kinetic energy and magnetic moment are reformulated in the context of superstatistics.
  arXiv  Detail & Related papers  (2022-07-30T08:07:28Z)
• Correspondence Between the Energy Equipartition Theorem in Classical Mechanics and its Phase-Space Formulation in Quantum Mechanics [62.997667081978825]
  In quantum mechanics, the energy per degree of freedom is not equally distributed. We show that in the high-temperature regime, the classical result is recovered.
  arXiv  Detail & Related papers  (2022-05-24T20:51:03Z)
• Evolution of a Non-Hermitian Quantum Single-Molecule Junction at Constant Temperature [62.997667081978825]
  We present a theory for describing non-Hermitian quantum systems embedded in constant-temperature environments. We find that the combined action of probability losses and thermal fluctuations assists quantum transport through the molecular junction.
  arXiv  Detail & Related papers  (2021-01-21T14:33:34Z)
• The Entropic Dynamics of Quantum Scalar Fields Coupled to Gravity [0.0]
  We propose a model for a quantum scalar field propagating in a dynamical space-time. Rather than modelling the dynamics of the fields, ED models the dynamics of their probabilities. A particularly significant prediction of this ED model is that the coupling of quantum fields to gravity implies violations of the quantum superposition principle.
  arXiv  Detail & Related papers  (2020-06-09T03:44:36Z)
• Construction of quantum wavefunctions for non-separable but integrable two-dimensional Hamiltonian systems by means of the boundary values on the classical caustics [0.0]
  It is possible to construct the quantum wave functions for non-separable but integrable two-dimensional Hamiltonian systems. The method is applied both to the Schrodinger equation, and to the quantum Hamilton-Jacobi equation.
  arXiv  Detail & Related papers  (2020-04-28T10:43:28Z)
• External and internal wave functions: de Broglie's double-solution theory? [77.34726150561087]
  We propose an interpretative framework for quantum mechanics corresponding to the specifications of Louis de Broglie's double-solution theory. The principle is to decompose the evolution of a quantum system into two wave functions. For Schr"odinger, the particles are extended and the square of the module of the (internal) wave function of an electron corresponds to the density of its charge in space.
  arXiv  Detail & Related papers  (2020-01-13T13:41:24Z)

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.