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  • Letter
  • Open Access

Cooling and state preparation in an optical lattice via Markovian feedback control

Ling-Na Wu* and André Eckardt†

  • Institut für Theoretische Physik, Technische Universität Berlin, Hardenbergstraße 36, Berlin 10623, Germany

  • *lingna.wu@tu-berlin.de
  • †eckardt@tu-berlin.de
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Phys. Rev. Research 4, L022045 – Published 24 May, 2022

DOI: https://doi.org/10.1103/PhysRevResearch.4.L022045

Abstract

We propose and investigate a scheme based on Markovian feedback control that allows for the preparation of single targeted eigenstates of a system of bosonic atoms in a one-dimensional optical lattice with high fidelity. It can be used for in situ cooling the interacting system without particle loss, for both weak and strong interactions, and for experimentally preparing and probing individual excited eigenstates. For that purpose the system is assumed to be probed weakly via homodyne detection of photons that are scattered off-resonantly by the atoms from a structured probe beam into a cavity mode. By applying an inertial force to the system that is proportional to the measured signal, the system is then guided into a pure target state. The scheme is found to be robust against reduced measurement efficiencies.

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Phys. Rev. Research 4, L022045– Published 24 May, 2022
  • Received 15 June 2021
  • Revised 1 October 2021
  • Accepted 16 March 2022
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