Nonlocality, entropy creation, and entanglement in quantum many-body systems

• URL: http://arxiv.org/abs/2101.00994v1
• Date: Mon, 4 Jan 2021 14:08:30 GMT
• Title: Nonlocality, entropy creation, and entanglement in quantum many-body systems
• Authors: Marc Dvorak
• Abstract summary: We propose a reinterpretation and reformulation of the single-particle Green's function in nonrelativistic quantum many-body theory. We postulate that the multiplicity of each quantized solution is directly related to the ensemble averaged spectrum and the entropy created by measurement of the particle.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We propose a reinterpretation and reformulation of the single-particle Green's function in nonrelativistic quantum many-body theory with an emphasis on normalization. By downfolding a correlation function covering all of Fock space into the observable portion, we derive a nonlocal Dyson equation which depends on an unknown downfolding frequency. The downfolding frequency is determined by solving the inverse problem so that the spectral function of the single-particle propagator is a Dirac-$\delta$ function. Upon measurement, the system collapses stochastically onto one of these normalized solutions. This collapse has a nonlocal effect on the path the particle takes, in agreement with quantum entanglement. We postulate that the multiplicity of each quantized solution is directly related to the ensemble averaged spectrum and the entropy created by measurement of the particle. In the final part, we outline a new picture of dynamics in quantum many-body systems. As a function of the coupling strength, the multiplicity for collapse has a complicated form due to the shape of the quantization condition. This structure creates an entropic force from counting quantized solutions which is predominantly attractive but likely also has a narrow repulsive regime at weak coupling. Upon collapse, an internal spacetime forms between the two points in order to carry the information gained from the reduction of the probabilistic many-body state. The repeated creation of these spacetime bridges defines an internal spacetime with a complicated shape and history. We treat the quantum system as a finite informational resource that holds information about possible normalized outcomes, collapses the wave function to reset after encountering a conflict, and creates an internal spacetime to carry the information gained with every collapse.

Related papers

• Realizing fracton order from long-range quantum entanglement in programmable Rydberg atom arrays [45.19832622389592]
  Storing quantum information requires battling quantum decoherence, which results in a loss of information over time. To achieve error-resistant quantum memory, one would like to store the information in a quantum superposition of degenerate states engineered in such a way that local sources of noise cannot change one state into another. We show that this platform also allows to detect and correct certain types of errors en route to the goal of true error-resistant quantum memory.
  arXiv  Detail & Related papers  (2024-07-08T12:46:08Z)
• Exact dynamics of quantum dissipative $XX$ models: Wannier-Stark localization in the fragmented operator space [49.1574468325115]
  We find an exceptional point at a critical dissipation strength that separates oscillating and non-oscillating decay. We also describe a different type of dissipation that leads to a single decay mode in the whole operator subspace.
  arXiv  Detail & Related papers  (2024-05-27T16:11:39Z)
• Robustness of Quantum Chaos and Anomalous Relaxation in Open Quantum Circuits [0.0]
  We study the interplay between quantum chaos and dissipation in generic quantum many-body systems. For a solvable model, in the limit of large local Hilbert space dimension, we obtain an exact expression for the DFF averaged over the random unitary gates. We find that, for long enough times, the system always relaxes with two distinctive regimes characterized by the presence or absence of gap-closing.
  arXiv  Detail & Related papers  (2023-12-01T15:22:42Z)
• Double-scale theory [77.34726150561087]
  We present a new interpretation of quantum mechanics, called the double-scale theory. It is based on the simultaneous existence of two wave functions in the laboratory reference frame. The external wave function corresponds to a field that pilots the center-of-mass of the quantum system. The internal wave function corresponds to the interpretation proposed by Edwin Schr"odinger.
  arXiv  Detail & Related papers  (2023-05-29T14:28:31Z)
• Quantum dynamics corresponding to chaotic BKL scenario [62.997667081978825]
  Quantization smears the gravitational singularity avoiding its localization in the configuration space. Results suggest that the generic singularity of general relativity can be avoided at quantum level.
  arXiv  Detail & Related papers  (2022-04-24T13:32:45Z)
• Fall of a Particle to the Center of a Singular Potential: Classical vs. Quantum Exact Solutions [0.0]
  We inspect the quantum problem with the help of the conventional Schr"odinger's equation. Surprisingly, the quantum and classical solutions exhibit striking similarities.
  arXiv  Detail & Related papers  (2022-02-25T11:04:39Z)
• Spectra of Neutron Wave Functions in Earth's Gravitational Field [0.0]
  Quantum Bouncing Ball is the time evolution of a quantum wave packet in the linear gravity potential. The qBounce collaboration recently observed such a system by dropping wave packets of ultracold neutrons by a height of roughly 30 microns. In this article, space and momentum spectra as well as Wigner functions of the neutron wave functions in the gravitational field of the Earth are analyzed.
  arXiv  Detail & Related papers  (2021-11-04T11:52:05Z)
• Machine learning time-local generators of open quantum dynamics [18.569079917372736]
  In the study of closed many-body quantum systems one is often interested in the evolution of a subset of degrees of freedom. In the simplest case the evolution of the reduced state of the system is governed by a quantum master equation with a time-independent, i.e. Markovian, generator. Here we are interested in understanding to which extent a neural network function approximator can predict open quantum dynamics from an underlying unitary dynamics.
  arXiv  Detail & Related papers  (2021-01-21T13:10:01Z)
• Quantum potential in dust collapse with a negative cosmological constant [0.0]
  We obtain the wave function describing collapsing dust in an anti-de Sitter background, as seen by a co-moving observer. We perform a causal de Broglie-Bohm analysis, and obtain the corresponding quantum potential. An initially collapsing solution with a negative cosmological constant bounces back after reaching a minimum radius.
  arXiv  Detail & Related papers  (2020-07-21T17:43:02Z)
• 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)
• Universal Error Bound for Constrained Quantum Dynamics [0.0]
  We establish an observable-based error bound for a constrained-dynamics approximation in generic gapped quantum systems. Our work establishes a universal and rigorous result concerning nonequilibrium quantum dynamics.
  arXiv  Detail & Related papers  (2020-01-03T06:25:03Z)

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.