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Linear-friction many-body equation for dissipative spontaneous wave-function collapse

Giovanni Di Bartolomeo1,2, Matteo Carlesso3,*, Kristian Piscicchia4,5, Catalina Curceanu5, Maaneli Derakhshani6, and Lajos Diósi7,8

  • 1Department of Physics, University of Trieste, Strada Costiera 11, 34151 Trieste, Italy
  • 2Istituto Nazionale di Fisica Nucleare, Trieste Section, Via Valerio 2, 34127 Trieste, Italy
  • 3Centre for Quantum Materials and Technologies, School of Mathematics and Physics, Queen's University Belfast, BT7 1NN Belfast, United Kingdom
  • 4Centro Ricerche Enrico Fermi–Museo Storico della Fisica e Centro Studi e Ricerche “Enrico Fermi,” Piazza del Viminale 1, 00184 Rome, Italy
  • 5INFN, Laboratori Nazionali di Frascati, Via Enrico Fermi 54, 00044 Frascati, Italy
  • 6Department of Mathematics, Rutgers University, 110 Frelinghuysen Road, Piscataway, New Jersey 08854-8019, USA
  • 7Wigner Research Center for Physics, P.O. Box 49, H-1525 Budapest 114, Hungary
  • 8Eötvös Loránd University, Pázmány Péter sétány 1/A, H-1117 Budapest, Hungary

  • *m.carlesso@qub.ac.uk
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Phys. Rev. A 108, 012202 – Published 6 July, 2023

DOI: https://doi.org/10.1103/PhysRevA.108.012202

Abstract

We construct and study the simplest universal dissipative Lindblad master equation for many-body systems with the purpose of a new dissipative extension of existing nonrelativistic theories of fundamental spontaneous decoherence and spontaneous wave function collapse in nature. It is universal as it is written in terms of second-quantized mass density ϱ̂ and current Ĵ, thus making it independent of the material structure and its parameters. Assuming linear friction in the current, we find that the dissipative structure is strictly constrained. Following the general structure of our dissipative Lindblad equation, we derive and analyze the dissipative extensions of the two most known spontaneous wave function collapse models, the Diósi-Penrose and the continuous spontaneous localization models.

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Phys. Rev. A 108, 012202– Published 6 July, 2023
  • Received 20 January 2023
  • Accepted 18 May 2023
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

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