Collapse models

Pearle, Philip

doi:10.1007/bfb0104404

Cited by 42 publications

(56 citation statements)

References 76 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…[9] and [10]). In general words, the existing models are based on adding an external random noise term and a term containing the measured observable to the Schrödinger equation.…”

Section: The Process Of Measurementmentioning

confidence: 99%

See 1 more Smart Citation

On the Measurement Problem for a Two-level Quantum System

Kryukov¹

2007

Found Phys

View full text Add to dashboard Cite

A geometric approach to quantum mechanics with unitary evolution and non-unitary collapse processes is developed. In this approach the Schrödinger evolution of a quantum system is a geodesic motion on the space of states of the system furnished with an appropriate Riemannian metric. The measuring device is modeled by a perturbation of the metric. The process of measurement is identified with a geodesic motion of state of the system in the perturbed metric. Under the assumption of random fluctuations of the perturbed metric, the Born rule for probabilities of collapse is derived. The approach is applied to a two-level quantum system to obtain a simple geometric interpretation of quantum commutators, the uncertainty principle and Planck's constant. In light of this, a lucid analysis of the double-slit experiment with collapse and an experiment on a pair of entangled particles is presented.

show abstract

“…[9] and [10]). In general words, the existing models are based on adding an external random noise term and a term containing the measured observable to the Schrödinger equation.…”

Section: The Process Of Measurementmentioning

confidence: 99%

“…At the same time, the physical reason for a particular random noise remains unexplained (see Ref. [9]). …”

Section: The Process Of Measurementmentioning

confidence: 99%

On the Measurement Problem for a Two-level Quantum System

Kryukov¹

2007

Found Phys

View full text Add to dashboard Cite

show abstract

“…The third explanation is that standard quantum theory is an approximation to a stochastic nonlinear quantum theory [34][35][36][37][38][39][40][41][42][43][44][45][46][47]. There is nothing special about quantum measurement; spontaneous collapse of the wave function is an inherent property of the nonlinear theory, but in microscopic systems the collapse occurs so rarely that the theory is effectively indistinguishable from the standard linear Schrödinger equation.…”

Section: Introductionmentioning

confidence: 99%

A Comparison Between Models of Gravity Induced Decoherence

et al. 2015

View full text Add to dashboard Cite

It has been suggested in the literature that spatial coherence of the wave function can be dynamically suppressed by fluctuations in the spacetime geometry. These fluctuations represent the minimal uncertainty that is present when one probes spacetime geometry with a quantum probe. on the mass and size of the quantum object. In the present article we compare and contrast the two models from three aspects: (i) comparison of the spacetime bounds, (ii) method of calculating decoherence time, (iii) comparison of noise correlation. We show that under certain conditions the minimal spacetime bounds in the two models can be derived one from the other. We argue that the methods of calculating the decoherence time are equivalent. We re-derive the two-point correlation for the fluctuation potential in the K-model, and confirm the earlier result of Diósi and Lukács that it is non-white noise, unlike in the D-model, where the corresponding correlation is white noise in time. This seems to be the origin of the different results in the two models. We derive the non-Markovian master equation for the K-model. We argue that the minimal spacetime bound cannot predict the noise correlation uniquely, and additional criteria are necessary to accurately determine the effects of gravitationally induced decoherence.

show abstract

“…Based on the premise that quantum state reduction should be taken seriously as a genuine physical process, collapse models [1,2] are an attempt to resolve this situation by suggesting a composite dynamics incorporating state reduction events or collapses and unitary state evolution (for general reviews see [3,4]). The idea is that the Schrödinger equation should be viewed as an approximation to this more general dynamics valid when collapse effects are negligible.…”

Section: Introductionmentioning

confidence: 99%

Relativistic State Reduction Dynamics

2010

View full text Add to dashboard Cite

A mechanism describing state reduction dynamics in relativistic quantum field theory is outlined. The mechanism involves nonlinear stochastic modifications to the standard description of unitary state evolution and the introduction of a relativistic field in which a quantized degree of freedom is associated to each point in spacetime. The purpose of this field is to mediate in the interaction between classical stochastic influences and conventional quantum fields. The equations of motion are Lorentz covariant, frame independent, and do not result in divergent behavior. It is shown that the mathematical framework permits the specification of unambiguous local properties providing a connection between the model and evidence of real world phenomena. The collapse process is demonstrated for an idealized example.

show abstract

Collapse models

Abstract: This is a review of formalisms and models (nonrelativistic and relativistic) which modify SchrSdinger's equation so that it describes wavefunction collapse as a dynamical physical process.

Cited by 42 publications

References 76 publications

On the Measurement Problem for a Two-level Quantum System

On the Measurement Problem for a Two-level Quantum System

A Comparison Between Models of Gravity Induced Decoherence

Relativistic State Reduction Dynamics

Contact Info

Product

Resources

About