# Understanding quantum measurement from the solution of dynamical models

@article{Allahverdyan2013UnderstandingQM, title={Understanding quantum measurement from the solution of dynamical models}, author={Armen E. Allahverdyan and Roger Balian and Theo M. Nieuwenhuizen}, journal={Physics Reports}, year={2013}, volume={525}, pages={1-166} }

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## References

SHOWING 1-10 OF 536 REFERENCES

Curie-Weiss model of the quantum measurement process

- Physics
- 2002

A Hamiltonian model is solved, which satisfies all requirements for a realistic ideal quantum measurement. The system S is a spin-½, whose z-component is measured through coupling with an apparatus A…

Quantum measurement as a driven phase transition: An exactly solvable model

- Physics
- 2001

A model of quantum measurement is proposed, which aims to describe statistical mechanical aspects of this phenomenon, starting from a purely Hamiltonian formulation. The macroscopic measurement…

Collapse of the Quantum Wavefunction

- Physics
- 2008

Physics Department, Norwegian University of Science and Technology(Dated: September 9, 2008)We show using a realistic Hamiltonian-type model that deﬁnite outcomes of quantum measure-ments may emerge…

Quantum approach to coupling classical and quantum dynamics

- Physics
- 2000

We present a consistent framework of coupled classical and quantum dynamics. Our result allows us to overcome severe limitations of previous phenomenological approaches, such as evolutions that do…

Emergence of quantum mechanics from classical statistics

- Physics
- 2009

The conceptual setting of quantum mechanics is subject to an ongoing debate from its beginnings until now. The consequences of the apparent differences between quantum statistics and classical…

Can the Quantum Measurement Problem be Resolved within the Framework of Schroedinger Dynamics and Quantum Probability

- Physics
- 2005

We provide an affirmative answer to the question posed in the title. Our argument is based on a treatment of the Schroedinger dynamics of the composite, Sc, of a quantum microsystem, S, and a…

Pointer states via Decoherence in a Quantum Measurement

- Physics
- 1999

We consider the interaction of a quantum system (spin-1/2) with a macroscopic quantum apparatus (harmonic oscillator) which in turn is coupled to a bath of harmonic oscillators. Exact solutions of…