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Experimental Measurement of Out-of-Time-Ordered Correlators at Finite Temperature
Alaina M Green1, A Elben2,3,4, C Huerta Alderete1
1Joint Quantum Institute and Department of Physics, University of Maryland, College Park, Maryland 20742, USA.
Physical Review Letters
|April 27, 2022
Summary
Researchers developed a new method to measure out-of-time-ordered correlators (OTOCs) at finite temperatures using quantum simulators. This allows studying temperature effects on quantum information scrambling and testing fundamental bounds.
Area of Science:
- Quantum Information Science
- Condensed Matter Physics
- Quantum Gravity
Background:
- Out-of-time-ordered correlators (OTOCs) are crucial for understanding quantum systems.
- Measuring OTOCs is key to exploring connections between many-body physics, quantum information, and quantum gravity.
Purpose of the Study:
- To demonstrate an experimental method for measuring OTOCs at finite temperatures.
- To investigate the temperature dependence of OTOCs and their decay rates.
- To enable testing of fundamental bounds on quantum information scrambling.
Main Methods:
- Utilized a digital quantum computer to simulate the transverse field Ising model.
- Developed a flexible method based on creating a thermofield double state.
- Measured OTOCs at finite temperatures to determine their decay rates.
Main Results:
- Successfully measured OTOCs at finite temperatures.
- Characterized the temperature-dependent decay rate of OTOCs.
- Demonstrated a method applicable to various quantum models.
Conclusions:
- The developed method provides a new tool for studying quantum information scrambling.
- Finite temperature measurements of OTOCs are feasible with current quantum simulators.
- This work facilitates testing theoretical predictions about quantum chaos and thermalization.
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