Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Journal of Physics Conference Series

Detection of phase randomization in a chain of Bose condensates

Andrei V. Turlapov

Published Jan 1, 2017• 1 citation
Publisher

Abstract

Interference in a long chain of Bose condensates is observed. Spatially quasi-periodic interference pattern appears even when the phases of the condensates are uncorrelated. However, the spatial fringe period depends qualitatively on whether the adjacent condensates are in phase or not. This is used for measuring the degree of phase coherence.

DOI
10.1088/1742-6596/793/1/012029

Related papers

Order in the interference of a long chain of Bose condensates with unrestricted phases

Vasiliy Makhalov, Andrey Turlapov

For a long periodic chain of Bose condensates prepared in the free space, the subsequent evolution and interference dramatically depend on the difference between the phases of the adjacent and more distant condensates. If the phases are equal, the initial periodic density distribution reappears at later times, which is known as the Talbot effect. For randomly-related phases, we have found that a spatial order also appears in the interference, while the evolution of the fringes differs with the Talbot effect qualitatively. Even a small phase disorder is sufficient for qualitatively altering the interference, though maybe at long evolution times. This effect may be used for measuring the amount of coherence between adjacent condensates and the correlation length along the chain.

cond-mat.quant-gasCross-listedarXiv:2603.20436•Physical Review Letters•Mar 24, 2026•8 citations

Spatial order in interference of a chain of Bose condensates with random phases

Vasiliy Makhalov, Andrei V. Turlapov

We have observed the interference of a long chain of Bose condensates prepared at the initial time moment in antinodes of a standing electromagnetic wave. The initial distribution of the condensate density in the system under consideration is periodic while the condensate phases can be different. Then the standing wave is quickly turned off, and the condensates start to expand and interfere. A spatial order of the interference fringes is observed with a period being substantially different from the period arising in the case of the Talbot effect.

Quantum Electronics•Sep 1, 2017•1 citation

Interference of a chain of Bose condensates in the Pitaevskii-Gross approximation

I. N. Mosaki, A. V. Turlapov

A long chain of Bose condensates freely expands and interferes after being released from an optical lattice. The interference fringes are well resolved both in the case of equal phases of the condensates and in the case of fluctuating phases. In the second case the positions of the fringes also fluctuate. The spectrum of the spatial density distribution, however, is reproducible despite the fluctuations. Moreover two types of peaks are distinguishable in the spectrum. The first type arises due to the phase fluctuations, the second type is associated with the coherence between the condensates. In the framework of the Pitaevskii-Gross equation we calculate the interference of the condensates and compare the calculation with experiment [Phys. Rev. Lett. 122, 090403 (2019)]. The calculation reproduces the positions of the spectrum peaks, including the dependence on the interparticle interaction. The calculated heights of the peaks, however, in some cases differ with the experimental ones.

cond-mat.quant-gasCross-listedarXiv:2603.20439•Журнал Экспериментальной и Теоретической Физики•Mar 24, 2026•3 citations

The Phase of a Bose-Einstein Condensate

Stephan Dürr

If two Bose-Einstein condensates are prepared independently and then overlapped, a spatial interference pattern is observed. This prompts the question what determines the phase of the fringe pattern, and whether a condensate has a well-defined value of the phase. This problem has been studied in the literature in detail. The objective of this article is, to present an introduction to the subject and to summarize the discussion for a wider audience.

•Nov 30, 2006•0 citations

Quantum Talbot Effect for a Chain of Partially Correlated Bose—Einstein Condensates

Vasiliy Makhalov, A. V. Turlapov

The matter-wave interference picture, which appears within the quantum Talbot effect, changes qualitatively in response to even a small randomness in the phases of the sources. The spatial spectrum acquires peaks which are absent in the case of equal phases. The mathematic model of the effect is presented. The manifestations of the phase randomness in experiments with atomic and molecular Bose-Einstein condensates are discussed. Thermometry based on observable consequences of phase randomness is proposed.

arXiv:1907.02833•Journal of Experimental and Theoretical Physics Letters•Apr 1, 2019•4 citations

Relating the temperature to the interference-fringe spectrum for a long chain of Bose condensates

Andrei V. Turlapov

Interference of a chain of Bose condensates qualitatively depends on the relation between the condensate phases. If the phases are equal, the Talbot effect is observed. Even a small randomness in the relative phases alters the density spectrum: Peaks appears at momenta that are unusual for the Talbot effect. Here this alteration of the spectrum is simulated within a simple model. Also the relation between the temperature and the density spectrum of the interference fringes is described.

AIP conference proceedings•Jan 1, 2019•0 citations
Interference in a long chain of Bose condensates is observed. Spatially quasi-periodic interference pattern appears even when the phases of the condensates are uncorrelated. However, the spatial fringe period depends qualitatively on whether the adjacent condensates are in phase or not. This is used for measuring the degree of phase coherence.
For a long periodic chain of Bose condensates prepared in the free space, the subsequent evolution and interference dramatically depend on the difference between the phases of the adjacent and more distant condensates. If the phases are equal, the initial periodic density distribution reappears at later times, which is known as the Talbot effect. For randomly-related phases, we have found that a spatial order also appears in the interference, while the evolution of the fringes differs with the Talbot effect qualitatively. Even a small phase disorder is sufficient for qualitatively altering the interference, though maybe at long evolution times. This effect may be used for measuring the amount of coherence between adjacent condensates and the correlation length along the chain.
We have observed the interference of a long chain of Bose condensates prepared at the initial time moment in antinodes of a standing electromagnetic wave. The initial distribution of the condensate density in the system under consideration is periodic while the condensate phases can be different. Then the standing wave is quickly turned off, and the condensates start to expand and interfere. A spatial order of the interference fringes is observed with a period being substantially different from the period arising in the case of the Talbot effect.
A long chain of Bose condensates freely expands and interferes after being released from an optical lattice. The interference fringes are well resolved both in the case of equal phases of the condensates and in the case of fluctuating phases. In the second case the positions of the fringes also fluctuate. The spectrum of the spatial density distribution, however, is reproducible despite the fluctuations. Moreover two types of peaks are distinguishable in the spectrum. The first type arises due to the phase fluctuations, the second type is associated with the coherence between the condensates. In the framework of the Pitaevskii-Gross equation we calculate the interference of the condensates and compare the calculation with experiment [Phys. Rev. Lett. 122, 090403 (2019)]. The calculation reproduces the positions of the spectrum peaks, including the dependence on the interparticle interaction. The calculated heights of the peaks, however, in some cases differ with the experimental ones.
The matter-wave interference picture, which appears within the quantum Talbot effect, changes qualitatively in response to even a small randomness in the phases of the sources. The spatial spectrum acquires peaks which are absent in the case of equal phases. The mathematic model of the effect is presented. The manifestations of the phase randomness in experiments with atomic and molecular Bose-Einstein condensates are discussed. Thermometry based on observable consequences of phase randomness is proposed.