Ramsey Interference in One-Dimensional Systems: The Full Distribution Function of Fringe Contrast as a Probe of Many-Body Dynamics

2009/12/23 by Takuya Kitagawa, Susanne Pielawa, Adilet Imambekov +3 · 74 citations
Mathematics · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Computer science #Contrast (vision) #Distribution (mathematics) #Distribution function #Dynamics (music) #Function (biology) #Interference (communication) #Mathematical analysis #Mathematics #Opinion Dynamics and Social Influence #Optics #Physics #Quantum #Quantum decoherence #Quantum many-body systems #Quantum mechanics #Statistical physics #Telecommunications #cond-mat.quant-gas

paper · pdf · doi:10.1103/physrevlett.104.255302

published in Physical Review Letters 104(25), 255302 (American Physical Society) · 5 pages, 2 figures

arxiv created 2009/12/23 · openalex publication_date 2010/06/24 · arxiv updated 2015/05/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We theoretically analyze Ramsey interference experiments in one-dimensional quasicondensates and obtain explicit expressions for the time evolution of full distribution functions of fringe contrast. We show that distribution functions contain unique signatures of the many-body mechanism of decoherence. We argue that Ramsey interference experiments provide a powerful tool for analyzing strongly correlated nature of 1D interacting systems.

Citations

• Effect of Suddenly Turning on Interactions in the Luttinger Model
• Non-equilibrium coherence dynamics in one-dimensional Bose gases
• Superfluid-Insulator Transition in a Moving System of Interacting Bosons
• Squeezed spin states
• Probing many-body states of ultracold atoms via noise correlations

Cited by

• Bosonic Mott Insulator with Meissner Currents
• Dephasing in coherently split quasicondensates
• Fluctuations and Stochastic Processes in One-Dimensional Many-Body Quantum Systems
• Quantum correlations and entanglement in far-from-equilibrium spin systems
• Phase-space representations of thermal Bose–Einstein condensates

Related

• Ramsey Fringes and Time-Domain Multiple-Slit Interference from Vacuum
• Effectively irreversible fringe contrast attenuation induced by one degree of freedom
• Distinguishability-induced many-body decoherence
• Ramsey interferometry with atoms and molecules: Two-body versus many-body phenomena
• On the phase dependence of a reversed quantum transitions