Many-body echo with driven atomic condensates and application to matterwave interferometery
Abstract
Quantum control of systems with many particles lies at the heart of quantum information control, quantum simulation and precision quantum interferometry. In contrast to systems with two or few particles, where quantum control are routinely realized with high fidelities, our ability to control a many-body systems is severely limited by the lack of tools to manipulate individual many-body quantum states and the increasing sensitivity of the system to environmental imperfections. As a result, many-body dynamics lose its quantum nature, including coherence and reversibility, and evolve toward thermal equilibrium. We propose an coordinated experimental and theoretical study to realize many-body echo and to explore the possibility to reverse the evolution of an interacting quantum system. Here many-body echo is a many-body analog of spin echo that has the remarkable function to regain quantum coherence by reversing the evolution. Can we realize such echo on a complex, interacting many-body system? A prominent experimental goal is to understand and eliminate heating in a driven quantum system, namely. When the external modulation is coherent, the heating in principle can be reversed by a precision control of the phase and amplitude of the external modulation. Theoretically, we will assess the possibility to measure out-of-time-order correlations based on quantum gas prepared in the thermofield double state. Beside its relevance to thermodynamics near an eternal blackhole, thermofield double state can be an excellent tool to extract the out-of-time-order correlations, which provide an upper-bound of the reversibility of quantum dynamics. As is the case for spin-echo, many-body echo will offer tremendous applications in quantum control and quantum measurements. Interferometers with quantum enhanced sensitivity, in particular, can be realized based on the driven, interacting quantum systems. In contrast to conventional interferometers for which particle interactions frequently lead to decoherence, the quantum-enhanced interferometers discussed can benefit from the interactions to prepare metrologically useful entanglement. The detrimental effect of heating and decoherence can potentially be suppressed based on the many-body echo operation.
Document Details
- Document Type
- DoD Grant Award
- Publication Date
- Jun 25, 2021
- Source ID
- W911NF2110108
Entities
People
- Cheng Chin
Organizations
- Army Contracting Command
- United States Army
- University of Chicago