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Main Author: Mukherjee, Aritro
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2504.16197
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author Mukherjee, Aritro
author_facet Mukherjee, Aritro
contents The deterministic and time-reversal symmetric dynamics of isolated quantum systems is at odds with irreversible equilibration observed in generic thermodynamic systems. Standard approaches at a reconciliation employ subjective restrictions on the space of observables or states and do not explain how a single macroscopic quantum system achieves equilibrium dynamically. We instead argue that quantum theory is an effective theory and requires corrections to accurately describe systems approaching the thermodynamic limit. We construct a stochastic extension of quantum theory which is practically identical to quantum mechanics for microscopic systems, yet allows single, isolated macroscopic systems to objectively thermalize, generically. A fluctuation-dissipation relation guarantees physical consistency including norm preservation, energy conservation, no superluminal signalling and the emergence of microcanonical equilibrium. We further discuss the inclusion of objective collapse, thereby realizing a falsifiable theory of spontaneous universal irreversibility which describes the quantum-to-classical crossover dynamics of macroscopic quantum systems. The dynamics of the model describe spontaneous symmetry breaking, quantum state reduction and objective quantum thermalization for individual systems while realizing an emergent hybrid statistics for ensembles which interpolates between Born's rules and microcanonical equilibrium.
format Preprint
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institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Spontaneous irreversibility and objective thermalization in stochastic modifications of quantum theory
Mukherjee, Aritro
Quantum Physics
The deterministic and time-reversal symmetric dynamics of isolated quantum systems is at odds with irreversible equilibration observed in generic thermodynamic systems. Standard approaches at a reconciliation employ subjective restrictions on the space of observables or states and do not explain how a single macroscopic quantum system achieves equilibrium dynamically. We instead argue that quantum theory is an effective theory and requires corrections to accurately describe systems approaching the thermodynamic limit. We construct a stochastic extension of quantum theory which is practically identical to quantum mechanics for microscopic systems, yet allows single, isolated macroscopic systems to objectively thermalize, generically. A fluctuation-dissipation relation guarantees physical consistency including norm preservation, energy conservation, no superluminal signalling and the emergence of microcanonical equilibrium. We further discuss the inclusion of objective collapse, thereby realizing a falsifiable theory of spontaneous universal irreversibility which describes the quantum-to-classical crossover dynamics of macroscopic quantum systems. The dynamics of the model describe spontaneous symmetry breaking, quantum state reduction and objective quantum thermalization for individual systems while realizing an emergent hybrid statistics for ensembles which interpolates between Born's rules and microcanonical equilibrium.
title Spontaneous irreversibility and objective thermalization in stochastic modifications of quantum theory
topic Quantum Physics
url https://arxiv.org/abs/2504.16197