Measuring out-of-time-ordered correlation functions without reversing time evolution
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Measuring out-of-time-ordered correlation functions without reversing time evolution. / Blocher, Philip Daniel; Asaad, Serwan; Mourik, Vincent; Johnson, Mark A.; Morello, Andrea; Molmer, Klaus.
In: Physical Review A, Vol. 106, No. 4, 042429, 19.10.2022.Research output: Contribution to journal › Journal article › Research › peer-review
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TY - JOUR
T1 - Measuring out-of-time-ordered correlation functions without reversing time evolution
AU - Blocher, Philip Daniel
AU - Asaad, Serwan
AU - Mourik, Vincent
AU - Johnson, Mark A.
AU - Morello, Andrea
AU - Molmer, Klaus
PY - 2022/10/19
Y1 - 2022/10/19
N2 - Out-of-time-ordered correlation functions (OTOCs) play a crucial role in the study of thermalization, entanglement, and quantum chaos, as they quantify the scrambling of quantum information due to complex interactions. As a consequence of their out-of-time-ordered nature, OTOCs are difficult to measure experimentally. Here we propose an OTOC measurement protocol that does not rely on the reversal of time evolution and is easy to implement in a range of experimental settings. The protocol accounts for both pure and mixed initial states, and is applicable to systems that interact with environmental degrees of freedom. We demonstrate the application of our protocol by the characterization of scrambling in a periodically driven spin that exhibits quantum chaos.
AB - Out-of-time-ordered correlation functions (OTOCs) play a crucial role in the study of thermalization, entanglement, and quantum chaos, as they quantify the scrambling of quantum information due to complex interactions. As a consequence of their out-of-time-ordered nature, OTOCs are difficult to measure experimentally. Here we propose an OTOC measurement protocol that does not rely on the reversal of time evolution and is easy to implement in a range of experimental settings. The protocol accounts for both pure and mixed initial states, and is applicable to systems that interact with environmental degrees of freedom. We demonstrate the application of our protocol by the characterization of scrambling in a periodically driven spin that exhibits quantum chaos.
KW - QUANTUM CHAOS
KW - DYNAMICS
U2 - 10.1103/PhysRevA.106.042429
DO - 10.1103/PhysRevA.106.042429
M3 - Journal article
VL - 106
JO - Physical Review A - Atomic, Molecular, and Optical Physics
JF - Physical Review A - Atomic, Molecular, and Optical Physics
SN - 1050-2947
IS - 4
M1 - 042429
ER -
ID: 325332785