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Heisenberg operator approach for spin squeezing dynamics

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Abstract

We reconsider the one-axis twisting Hamiltonian, which is commonly used for generating spin squeezing, and treat its dynamics within the Heisenberg operator approach. To this end we solve the underlying Heisenberg equations of motion perturbatively and evaluate the expectation values of the resulting time-dependent Heisenberg operators in order to determine approximately the dynamics of spin squeezing. Comparing our results with those originating from exact numerics reveals that they are more accurate than the commonly used frozen spin approximation.

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Authors and Affiliations

  1. School of Physical Sciences, Jawaharlal Nehru University, New Delhi, 110067, India

    Aranya Bhuti Bhattacherjee & Deepti Sharma

  2. Fachbereich Physik und Forschungszentrum OPTIMAS, Technische Universität Kaiserslautern, 67663, Kaiserslautern, Germany

    Axel Pelster

Authors
  1. Aranya Bhuti Bhattacherjee
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  2. Deepti Sharma
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  3. Axel Pelster
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Correspondence to Aranya Bhuti Bhattacherjee.

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Bhattacherjee, A.B., Sharma, D. & Pelster, A. Heisenberg operator approach for spin squeezing dynamics. Eur. Phys. J. D 71, 337 (2017). https://doi.org/10.1140/epjd/e2017-80534-6

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  • DOI: https://doi.org/10.1140/epjd/e2017-80534-6

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