# Approaching infinite temperature upon repeated measurements of a quantum system

## Abstract

The influence of repeated projective measurements on the dynamics of the state of a quantum system is studied as a function of the time lag {tau} between successive measurements. In the limit of infinitely many measurements of the occupancy of a single state the total system approaches a uniform state. The asymptotic approach to this state is exponential in the case of finite Hilbert space dimension. The rate characterizing this approach undergoes a sharp transition from a monotonically increasing to an erratically varying function of the time between subsequent measurements.

- Authors:

- Department of Physics, Pusan National University, Busan 609-735 (Korea, Republic of)
- (Germany)
- Institut fuer Physik, Universitaet Augsburg, Universitaetsstrasse 1, D-86135 Augsburg (Germany)

- Publication Date:

- OSTI Identifier:
- 22068642

- Resource Type:
- Journal Article

- Journal Name:
- Physical Review. A

- Additional Journal Information:
- Journal Volume: 84; Journal Issue: 3; Other Information: (c) 2011 American Institute of Physics; Country of input: Syrian Arab Republic; Journal ID: ISSN 1050-2947

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 74 ATOMIC AND MOLECULAR PHYSICS; ASYMPTOTIC SOLUTIONS; AUGMENTATION; HILBERT SPACE; QUANTUM MECHANICS

### Citation Formats

```
Yi, Juyeon, Institut fuer Physik, Universitaet Augsburg, Universitaetsstrasse 1, D-86135 Augsburg, Talkner, Peter, and Ingold, Gert-Ludwig.
```*Approaching infinite temperature upon repeated measurements of a quantum system*. United States: N. p., 2011.
Web. doi:10.1103/PHYSREVA.84.032121.

```
Yi, Juyeon, Institut fuer Physik, Universitaet Augsburg, Universitaetsstrasse 1, D-86135 Augsburg, Talkner, Peter, & Ingold, Gert-Ludwig.
```*Approaching infinite temperature upon repeated measurements of a quantum system*. United States. doi:10.1103/PHYSREVA.84.032121.

```
Yi, Juyeon, Institut fuer Physik, Universitaet Augsburg, Universitaetsstrasse 1, D-86135 Augsburg, Talkner, Peter, and Ingold, Gert-Ludwig. Thu .
"Approaching infinite temperature upon repeated measurements of a quantum system". United States. doi:10.1103/PHYSREVA.84.032121.
```

```
@article{osti_22068642,
```

title = {Approaching infinite temperature upon repeated measurements of a quantum system},

author = {Yi, Juyeon and Institut fuer Physik, Universitaet Augsburg, Universitaetsstrasse 1, D-86135 Augsburg and Talkner, Peter and Ingold, Gert-Ludwig},

abstractNote = {The influence of repeated projective measurements on the dynamics of the state of a quantum system is studied as a function of the time lag {tau} between successive measurements. In the limit of infinitely many measurements of the occupancy of a single state the total system approaches a uniform state. The asymptotic approach to this state is exponential in the case of finite Hilbert space dimension. The rate characterizing this approach undergoes a sharp transition from a monotonically increasing to an erratically varying function of the time between subsequent measurements.},

doi = {10.1103/PHYSREVA.84.032121},

journal = {Physical Review. A},

issn = {1050-2947},

number = 3,

volume = 84,

place = {United States},

year = {2011},

month = {9}

}

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