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

Physical Review A

Quantum phase diffusion of a two-component dilute Bose-Einstein condensate

C. K. Law, Han Pu, N. P. Bigelow, Joseph H. Eberly

Published Jul 1, 1998• 28 citations
Publisher

Abstract

We determine the diffusion rates of two quantum phases associated with a two-component dilute Bose-Einstein condensate. We show that although the phase information of each individual component is lost in the course of time, the relative phase of the two components of the field can be locked without diffusion when the interaction strength between the two components equals certain critical values.

DOI
10.1103/physreva.58.531

Related papers

Phase-Diffusion Dynamics in Weakly Coupled Bose-Einstein Condensates

Erez Boukobza, Maya Chuchem, Doron Cohen +1 more

We study the phase sensitivity of collisional phase diffusion between weakly coupled Bose-Einstein condensates, using a semiclassical picture of the two-mode Bose-Hubbard model. When weak coupling is allowed, zero relative phase locking is attained in the Josephson-Fock transition regime, whereas a pi relative phase is only locked in Rabi-Josephson point. Our analytic semiclassical estimates agree well with the numerical results.

arXiv:0812.1204•Physical Review Letters•May 7, 2009•66 citations

Phase diffusion of a two-component Bose–Einstein condensates: exact and short-time solutions for arbitrary coherent spin state

Jin Guang-Ri, Wang Bo-Bo, Lü Yan-Wu

We investigate phase diffusion of a two-component Bose-Einstein condensates prepared initially in arbitrary coherent spin state $|θ_0,ϕ_0\rangle$. Analytical expression of the phase-diffusion time is presented for $θ_0\neqπ/2$ case. In comparison with the symmetrical case (i.e., $θ_0=π/2$), we find that the diffusion process becomes slowly due to the reduced atom number variance.

arXiv:1011.3211•Chinese Physics B•Feb 1, 2010•5 citations

Comment on “Phase and Phase Diffusion of a Split Bose-Einstein Condensate”

A. J. Leggett, Fernando Sols

Recently Javanainen and Wilkens [Phys. Rev. Lett. 78, 4675 (1997)] have analysed an experiment in which an interacting Bose condensate, after being allowed to form in a single potential well, is "cut" by splitting the well adiabatically with a very high potential barrier, and estimate the rate at which, following the cut, the two halves of the condensate lose the "memory" of their relative phase. We argue that, by neglecting the effect of interactions in the initial state before the separation, they have overestimated the rate of phase randomization by a numerical factor which grows with the interaction strength and with the slowness of the separation process.

arXiv:cond-mat/9807056•Physical Review Letters•Aug 10, 1998•63 citations

Measurement scheme for relative phase diffusion between two Bose-Einstein condensates

Janne Ruostekoski, Daniel F. Walls

We propose a method of measuring diffusion of the relative phase between two Bose-Einstein condensates occupying different nuclear or electronic spin hyperfine states coupled by a two-photon magnetic-dipole transition via an intermediate level. Due to the macroscopic quantum coherence the condensates can be decoupled from the electromagnetic fields. The rate of decoherence and the phase collapse may be determined from the occupation of the intermediate level or the absorption of radiation.

arXiv:cond-mat/9806351•Physical Review A•Apr 1, 1999•19 citations

Quantum Phase Diffusion of a Bose-Einstein Condensate

Maciej Lewenstein, Li You

We discuss the quantum properties of the Bose-Einstein condensate of a dilute gas of atoms in a trap. We show that the phase of the condensate undergoes quantum diffusion which can be detected in far off-resonant light scattering experiments.

Physical Review Letters•Oct 21, 1996•355 citations

Quantum dynamics of the phase of a Bose–Einstein condensate

Pierre Villain, Maciej Lewenstein, Ralph Dum +4 more

In this review we discuss the dynamics of the phase of trapped Bose–Einstein condensates. In particular we consider the phenomena of phase decoherence (termed also as phase collapse, or diffusion), and phase revival in systems of interacting atoms. We analyse the dependence of the collapse and revival times on the trap potential, dimensionality of the gas, atom number fluctuations, and on the coherent dynamics of the condensate. We show that in a class of experimentally relevant systems, the collapse time is relatively short, and in some cases vanishes in the limit of a large number of atoms, implying that the trapped Bose gas cannot sustain a well-defined quantum phase, and that the phase memory is lost on a relatively short time scale. Furthermore, we calculate the relative atom number fluctuations or a model of two interacting condensates, and show that the fluctuations are generically sub-Poissonian.

Journal of Modern Optics•Oct 1, 1997•29 citations
We determine the diffusion rates of two quantum phases associated with a two-component dilute Bose-Einstein condensate. We show that although the phase information of each individual component is lost in the course of time, the relative phase of the two components of the field can be locked without diffusion when the interaction strength between the two components equals certain critical values.
We investigate phase diffusion of a two-component Bose-Einstein condensates prepared initially in arbitrary coherent spin state ∣θ0,ϕ0⟩|θ_0,ϕ_0\rangle∣θ0​,ϕ0​⟩. Analytical expression of the phase-diffusion time is presented for θ0≠π/2θ_0\neqπ/2θ0​=π/2 case. In comparison with the symmetrical case (i.e., θ0=π/2θ_0=π/2θ0​=π/2), we find that the diffusion process becomes slowly due to the reduced atom number variance.
Recently Javanainen and Wilkens [Phys. Rev. Lett. 78, 4675 (1997)] have analysed an experiment in which an interacting Bose condensate, after being allowed to form in a single potential well, is "cut" by splitting the well adiabatically with a very high potential barrier, and estimate the rate at which, following the cut, the two halves of the condensate lose the "memory" of their relative phase. We argue that, by neglecting the effect of interactions in the initial state before the separation, they have overestimated the rate of phase randomization by a numerical factor which grows with the interaction strength and with the slowness of the separation process.
In this review we discuss the dynamics of the phase of trapped Bose–Einstein condensates. In particular we consider the phenomena of phase decoherence (termed also as phase collapse, or diffusion), and phase revival in systems of interacting atoms. We analyse the dependence of the collapse and revival times on the trap potential, dimensionality of the gas, atom number fluctuations, and on the coherent dynamics of the condensate. We show that in a class of experimentally relevant systems, the collapse time is relatively short, and in some cases vanishes in the limit of a large number of atoms, implying that the trapped Bose gas cannot sustain a well-defined quantum phase, and that the phase memory is lost on a relatively short time scale. Furthermore, we calculate the relative atom number fluctuations or a model of two interacting condensates, and show that the fluctuations are generically sub-Poissonian.