Continuous stochastic Schrodinger equations and localization

F. Mota-Furtado; M. Rigo; P. F. O'Mahony

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Continuous stochastic Schrodinger equations and localization

M. Rigo, F. Mota-Furtado, P. F. O'Mahony

Quantum Physics · Submitted 6 Aug 1997

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim An equation having such a property is proposed in the case of a single non-hermitian environment operator.

how it is stated · asserted 0.90 read the record →

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arXiv IDquant-ph/9708011 (version 1)

Pith IDAE2ZS7CC, Pith's permanent record of this paper and its review

CitationF. Mota-Furtado, M. Rigo, P. F. O'Mahony. "Continuous stochastic Schrodinger equations and localization." arXiv:quant-ph/9708011 (1997). https://pith.science/paper/AE2ZS7CC

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The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,178 input tokens.

What the abstract itself states, as probabilities: claims first 0.05 · states limitation 0.10 · human participants 0.01 · controlled comparison 0.04 · randomized assignment 0.01 · states quantitative result 0.06 · compares with prior results 0.13 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; show every role.

The set of continuous norm-preserving stochastic Schrodinger equations associated with the Lindblad master equation is introduced. This set is used to describe the localization properties of the state vector toward eigenstates of the environment operator. Particular focus is placed on determining the stochastic equation which exhibits the highest rate of localization for wide open systems. An equation having such a property is proposed in the case of a single non-hermitian environment operator. This result is relevant to numerical simulations of quantum trajectories where localization properties are used to reduce the number of basis states needed to represent the system state, and thereby increase the speed of calculation.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	The set of continuous norm-preserving stochastic Schrodinger equations associated with the Lindblad master equation is introduced.	contribution 0.97	0.79	0.06	asserted 1.00
s1	This set is used to describe the localization properties of the state vector toward eigenstates of the environment operator.	method 0.52	0.67	0.13	asserted 1.00
s2	Particular focus is placed on determining the stochastic equation which exhibits the highest rate of localization for wide open systems.	contribution 0.88	0.63	0.10	asserted 0.69
s3	An equation having such a property is proposed in the case of a single non-hermitian environment operator.	result 0.55	0.88	0.41	asserted 0.90
s4	This result is relevant to numerical simulations of quantum trajectories where localization properties are used to reduce the number of basis states needed to represent the system state, and thereby increase the speed of calculation.	interpretation 0.99	0.23	0.10	asserted 0.96

What kind of paper the classifier reports this is: theoretical result 0.68 · evidence from proof or derivation 0.97.

What was examined, and what was not

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arXiv listing abstract v1

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full text
figures and tables
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C citations
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Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper

Original abstract

The set of continuous norm-preserving stochastic Schrodinger equations associated with the Lindblad master equation is introduced. This set is used to describe the localization properties of the state vector toward eigenstates of the environment operator. Particular focus is placed on determining the stochastic equation which exhibits the highest rate of localization for wide open systems. An equation having such a property is proposed in the case of a single non-hermitian environment operator. This result is relevant to numerical simulations of quantum trajectories where localization properties are used to reduce the number of basis states needed to represent the system state, and thereby increase the speed of calculation.

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2 arXiv papers cite this in 4 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 2 sentences without a confident label

Compares with it 1 paper

It is interesting to compare Born with the Quantum State Diffusion (QSD) unravelling because the latter has proved popular in discussions of the quantum-to-classical transition [ref] .

Classical from Quantum · The continuum limit · 0.86

Cites it as support 1 paper

This is already very encouraging because there is now ample evidence from both theoretical and numerical studies that classical mechanics does emerge from QSD [ref] .

Classical from Quantum · Classical emergence · 1.00

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