Spontaneous Collapse by Entanglement Suppression

Buks, Eyal

doi:10.1002/qute.202300103

Adv Quantum Tech

2023

DOI: 10.1002/qute.202300103

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Spontaneous Collapse by Entanglement Suppression

Eyal Buks

Abstract: A modified Schrödinger equation having an added nonlinear term, which gives rise to disentanglement, has been recently proposed. The process of quantum measurement is explored for the case of a pair of coupled spins. It is found that the deterministic time evolution generated by the modified Schrödinger equation mimics the process of wavefunction collapse. Added noise gives rise to stochasticity in the measurement process. Conflict with both principles of causality and separability can be avoided by postulatin… Show more

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Cited by 2 publications

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“…A somewhat similar proposal concerning a rate parameter has been presented by Buks in a recent preprint[21].…”

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confidence: 55%

Wave function collapse equation maintains conservation laws with no new constants

Gillis¹

2023

J. Phys. A: Math. Theor.

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Modiﬁed versions of the Schrödinger equation have been proposed in order to incorporate the description of measurement processes into the mathematical structure of quantum theory. Typically, these proposals introduce new physical constants, and imply small violations of momentum and energy conservation.These problematic features can be eliminated by assuming that wave function collapse is induced by the individual interactions that establish correlations between systems. The generation of a suﬃcient number of small, random shifts of amplitude between interacting and noninteracting branches of the wave function can bring about collapse on a scale consistent with our macroscopic experience. Two-particle interaction potential energies can be used as the basis for a collapse term added to the Schrödinger equation. The range of the interactions sets the distance scale of the collapse eﬀects; the ratio of potential energies to the total relativistic energies of the particles determines the magnitude of the amplitude shifts, and the rate at which the interactions proceed ﬁxes the timing parameters.Consistency with conservation laws in individual experiments is maintained because the collapse operator automatically takes into account the small, residual entanglement between the measured system and systems with which it has previously exchanged conserved quantities during interactions. Conservation is exact for momentum and orbital angular momentum, and it holds for energy within the accuracy allowed by the limited forms of energy describable in nonrelativistic theory.

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“…A somewhat similar proposal concerning a rate parameter has been presented by Buks in a recent preprint[21].…”

mentioning

confidence: 55%

Wave function collapse equation maintains conservation laws with no new constants

Gillis¹

2023

J. Phys. A: Math. Theor.

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Spontaneous Disentanglement and Thermalization

Buks

2024

Adv Quantum Tech

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The problem of quantum measurement can be partially resolved by incorporating a process of spontaneous disentanglement into quantum dynamics. A modified master equation is proposed, which contains a nonlinear term giving rise to both spontaneous disentanglement and thermalization. It is found that the added nonlinear term enables limit cycle steady states, which are prohibited in standard quantum mechanics. This finding suggests that an experimental observation of such a limit cycle steady state can provide an important evidence supporting the spontaneous disentanglement hypothesis.

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Spontaneous Collapse by Entanglement Suppression

Cited by 2 publications

References 36 publications

Wave function collapse equation maintains conservation laws with no new constants

Wave function collapse equation maintains conservation laws with no new constants

Spontaneous Disentanglement and Thermalization

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