Correlations and signaling in the Schrödinger-Newton model

• URL: http://arxiv.org/abs/2406.09230v2
• Date: Wed, 23 Oct 2024 16:44:56 GMT
• Title: Correlations and signaling in the Schrödinger-Newton model
• Authors: Jacek Aleksander Gruca, Ankit Kumar, Ray Ganardi, Paramasivan Arumugam, Karolina Kropielnicka, Tomasz Paterek,
• Abstract summary: We show that the Schr"odinger--Newton interactions preserve the product form of the initial state of a many-body system. We also present a mixed-state extension of the model that avoids superluminal signaling.
• Score: 1.8847142777010908
• License:
• Abstract: The Schr\"odinger--Newton model is a semi-classical theory in which, in addition to mutual attraction, massive quantum particles interact with their own gravitational fields. While there are many studies on the phenomenology of single particles, correlation dynamics in multipartite systems is largely unexplored. Here, we show that the Schr\"odinger--Newton interactions preserve the product form of the initial state of a many-body system, yet on average agreeing with classical mechanics of continuous mass distributions. This leads to a simple test of the model, based on verifying bipartite gravitational evolution towards non-product states. We show using standard quantum mechanics that, with currently accessible single-particle parameters, two masses released from harmonic traps get correlated well before any observable entanglement is accumulated. Therefore, the Schr\"odinger--Newton model can be tested with setups aimed at observation of gravitational entanglement with significantly relaxed requirements on coherence time. We also present a mixed-state extension of the model that avoids superluminal signaling.

Related papers

• Classifying two-body Hamiltonians for Quantum Darwinism [0.0]
  We consider a generic model of an arbitrary finite-dimensional system interacting with an environment formed from an arbitrary collection of finite-dimensional degrees of freedom. We show that such models support quantum Darwinism if the set of operators acting on the system which enter the Hamiltonian satisfy a set of commutation relations with a pointer observable and with one other.
  arXiv  Detail & Related papers  (2024-05-01T18:42:43Z)
• Ultracold Neutrons in the Low Curvature Limit: Remarks on the post-Newtonian effects [49.1574468325115]
  We apply a perturbative scheme to derive the non-relativistic Schr"odinger equation in curved spacetime. We calculate the next-to-leading order corrections to the neutron's energy spectrum. While the current precision for observations of ultracold neutrons may not yet enable to probe them, they could still be relevant in the future or in alternative circumstances.
  arXiv  Detail & Related papers  (2023-12-30T16:45:56Z)
• Quantumness and quantum to classical transition in the generalized Rabi model [17.03191662568079]
  We define the quantumness of a Hamiltonian by the free energy difference between its quantum and classical descriptions. We show that the Jaynes-Cummings and anti Jaynes-Cummings models exhibit greater quantumness than the Rabi model.
  arXiv  Detail & Related papers  (2023-11-12T18:24:36Z)
• Testing Quantum Gravity using Pulsed Optomechanical Systems [13.650870855008112]
  We consider the Schr"odinger-Newton (SN) theory and the Correlated Worldline (CWL) theory, and show that they can be distinguished from conventional quantum mechanics. We find that discriminating between the theories will be very difficult until experimental control over low frequency quantum optomechanical systems is pushed further.
  arXiv  Detail & Related papers  (2023-11-03T17:06:57Z)
• Strongly incoherent gravity [0.0]
  A non-entangling version of an arbitrary two-body potential $V(r)$ arises from local measurements and feedback forces. This produces a non-relativistic model of gravity with fundamental loss of unitarity. As an alternative to testing entanglement properties, we show that the entire remaining parameter space can be tested by looking for loss of quantum coherence in small systems.
  arXiv  Detail & Related papers  (2023-01-20T01:09:12Z)
• Dilute neutron star matter from neural-network quantum states [58.720142291102135]
  Low-density neutron matter is characterized by the formation of Cooper pairs and the onset of superfluidity. We model this density regime by capitalizing on the expressivity of the hidden-nucleon neural-network quantum states combined with variational Monte Carlo and reconfiguration techniques.
  arXiv  Detail & Related papers  (2022-12-08T17:55:25Z)
• Quantum vibrational mode in a cavity confining a massless spinor field [91.3755431537592]
  We analyse the reaction of a massless (1+1)-dimensional spinor field to the harmonic motion of one cavity wall. We demonstrate that the system is able to convert bosons into fermion pairs at the lowest perturbative order.
  arXiv  Detail & Related papers  (2022-09-12T08:21:12Z)
• Quantum correlations beyond entanglement in a classical-channel model of gravity [0.0]
  We show that a classical-channel model of gravity can still establish quantum correlations in the form of quantum discord between two masses. This is demonstrated for the Kafri-Taylor-Milburn (KTM) model and a recently proposed dissipative extension of this.
  arXiv  Detail & Related papers  (2022-05-30T18:00:02Z)
• Non-equilibrium stationary states of quantum non-Hermitian lattice models [68.8204255655161]
  We show how generic non-Hermitian tight-binding lattice models can be realized in an unconditional, quantum-mechanically consistent manner. We focus on the quantum steady states of such models for both fermionic and bosonic systems.
  arXiv  Detail & Related papers  (2021-03-02T18:56:44Z)
• Post-Newtonian Description of Quantum Systems in Gravitational Fields [0.0]
  This thesis deals with the systematic treatment of quantum-mechanical systems in post-Newtonian gravitational fields. Our systematic approach allows to properly derive the post-Newtonian coupling of quantum-mechanical systems to gravity based on first principles.
  arXiv  Detail & Related papers  (2020-09-23T18:03:04Z)
• Gravitational interaction through a feedback mechanism [0.0]
  We study the models of Kafri, Taylor and Milburn (KTM) and Tilloy and Di'osi (TD) Both of which implement gravity between quantum systems through a continuous measurement and feedback mechanism.
  arXiv  Detail & Related papers  (2020-07-23T12:54:48Z)

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.