# Decoherence Dynamics in Low-Dimensional Cold Atom Interferometers

## Abstract

We report on a study of the dynamics of decoherence of a matter-wave interferometer, consisting of a pair of low-dimensional cold atom condensates at finite temperature. We identify two distinct regimes in the time dependence of the coherence factor of the interferometer: quantum and classical. Explicit analytical results are obtained in both regimes. In particular, in the two-dimensional case in the classical (long time) regime, we find that the dynamics of decoherence is universal, exhibiting a power-law decay with an exponent, proportional to the ratio of the temperature to the Kosterlitz-Thouless temperature of a single 2D condensate. In the one-dimensional case in the classical regime we find a universal nonanalytic time dependence of decoherence, which is a consequence of the nonhydrodynamic nature of damping in 1D liquids.

- Authors:

- Department of Physics, Harvard University, Cambridge, Massachusetts 02138 (United States)

- Publication Date:

- OSTI Identifier:
- 20951363

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physical Review Letters; Journal Volume: 98; Journal Issue: 20; Other Information: DOI: 10.1103/PhysRevLett.98.200404; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ATOMS; CONDENSATES; INTERFEROMETERS; ONE-DIMENSIONAL CALCULATIONS; QUANTUM DECOHERENCE; TIME DEPENDENCE; TWO-DIMENSIONAL CALCULATIONS

### Citation Formats

```
Burkov, A. A., Lukin, M. D., and Demler, Eugene.
```*Decoherence Dynamics in Low-Dimensional Cold Atom Interferometers*. United States: N. p., 2007.
Web. doi:10.1103/PHYSREVLETT.98.200404.

```
Burkov, A. A., Lukin, M. D., & Demler, Eugene.
```*Decoherence Dynamics in Low-Dimensional Cold Atom Interferometers*. United States. doi:10.1103/PHYSREVLETT.98.200404.

```
Burkov, A. A., Lukin, M. D., and Demler, Eugene. Fri .
"Decoherence Dynamics in Low-Dimensional Cold Atom Interferometers". United States.
doi:10.1103/PHYSREVLETT.98.200404.
```

```
@article{osti_20951363,
```

title = {Decoherence Dynamics in Low-Dimensional Cold Atom Interferometers},

author = {Burkov, A. A. and Lukin, M. D. and Demler, Eugene},

abstractNote = {We report on a study of the dynamics of decoherence of a matter-wave interferometer, consisting of a pair of low-dimensional cold atom condensates at finite temperature. We identify two distinct regimes in the time dependence of the coherence factor of the interferometer: quantum and classical. Explicit analytical results are obtained in both regimes. In particular, in the two-dimensional case in the classical (long time) regime, we find that the dynamics of decoherence is universal, exhibiting a power-law decay with an exponent, proportional to the ratio of the temperature to the Kosterlitz-Thouless temperature of a single 2D condensate. In the one-dimensional case in the classical regime we find a universal nonanalytic time dependence of decoherence, which is a consequence of the nonhydrodynamic nature of damping in 1D liquids.},

doi = {10.1103/PHYSREVLETT.98.200404},

journal = {Physical Review Letters},

number = 20,

volume = 98,

place = {United States},

year = {Fri May 18 00:00:00 EDT 2007},

month = {Fri May 18 00:00:00 EDT 2007}

}