Beyond one-axis twisting: Simultaneous spin-momentum squeezing

• URL: http://arxiv.org/abs/2206.12491v2
• Date: Wed, 14 Sep 2022 15:27:18 GMT
• Title: Beyond one-axis twisting: Simultaneous spin-momentum squeezing
• Authors: John Drew Wilson, Simon B. J\"ager, Jarrod T. Reilly, Athreya Shankar, Maria Luisa Chiofalo, and Murray J. Holland
• Abstract summary: We introduce a novel method to generate entanglement across two distinct degrees of freedom. This leads to three axes undergoing twisting due to the two degrees of freedom and their entanglement, with the resulting potential for a more rich context of quantum entanglement.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: The creation and manipulation of quantum entanglement is central to improving precision measurements. A principal method of generating entanglement for use in atom interferometry is the process of spin squeezing whereupon the states become more sensitive to $SU(2)$ rotations. One possibility to generate this entanglement is provided by one-axis twisting (OAT), where a many-particle entangled state of one degree of freedom is generated by a non-linear Hamiltonian. We introduce a novel method which goes beyond OAT to create squeezing and entanglement across two distinct degrees of freedom. We present our work in the specific physical context of a system consisting of collective atomic energy levels and discrete collective momentum states, but also consider other possible realizations. Our system uses a nonlinear Hamiltonian to generate dynamics in $SU(4)$, thereby creating the opportunity for dynamics not possible in typical $SU(2)$ one-axis twisting. This leads to three axes undergoing twisting due to the two degrees of freedom and their entanglement, with the resulting potential for a more rich context of quantum entanglement. The states prepared in this system are potentially more versatile for use in multi-parameter or auxiliary measurement schemes than those prepared by standard spin squeezing.

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