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Nondestructive Optomechanical Detection Scheme for Bose-Einstein Condensates.

Cisco Gooding1, Cameron R D Bunney2, Samin Tajik3

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We developed a novel optical readout scheme to measure quantum correlations in Bose-Einstein condensates. This method surpasses the standard quantum limit, enabling new applications in quantum fluid dynamics and vacuum fluctuation studies.

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Area of Science:

  • Quantum optics
  • Condensed matter physics
  • Atomic physics

Background:

  • Bose-Einstein condensates (BECs) are crucial for studying quantum phenomena.
  • Measuring unequal-time correlations in quantum systems is experimentally challenging.
  • Quantum vacuum fluctuations and their dependence on acceleration are key theoretical concepts.

Purpose of the Study:

  • To present a two-tone heterodyne optical readout scheme for extracting unequal-time density correlations in BECs.
  • To analyze measurement noise and identify the standard quantum limit (SQL) for the scheme.
  • To explore the use of two-mode squeezed states to surpass the SQL and investigate quantum vacuum fluctuations.

Main Methods:

  • Utilizing a modulated laser probe for optical readout.
  • Implementing a two-tone heterodyne detection technique.
  • Analyzing imprecision and backaction noise sources.
  • Employing pancake-shaped Bose-Einstein condensates.

Main Results:

  • The scheme allows extraction of unequal-time density correlations along arbitrary stationary paths.
  • The standard quantum limit for signal extraction was identified.
  • Two-mode squeezed states were shown to potentially surpass the SQL.
  • The scheme enables experimental realization of acceleration-dependent quantum vacuum fluctuations, including the circular motion Unruh effect.

Conclusions:

  • The proposed optical readout scheme provides nondestructive access to unequal-time correlations in quantum fluids.
  • The technique is adaptable beyond BECs, offering broad applicability in quantum science.
  • It opens avenues for experimentally probing fundamental aspects of quantum field theory in curved spacetimes.