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06:42
Generation and Coherent Control of Pulsed Quantum Frequency Combs
Published on: June 8, 2018
Soliton creation during a Bose-Einstein condensation
Bogdan Damski1, Wojciech H Zurek
1Theoretical Division, Los Alamos National Laboratory, MS-B213, Los Alamos, New Mexico 87545, USA.
Physical Review Letters
|May 21, 2010
Summary
Cooling into a Bose-Einstein condensate (BEC) creates solitons whose density reveals critical exponents. Counting these solitons or analyzing correlation functions can determine BEC phase transition exponents z and nu.
Area of Science:
- Atomic, Molecular, and Optical Physics
- Condensed Matter Physics
- Quantum Gases
Background:
- Bose-Einstein condensation (BEC) is a quantum mechanical phenomenon occurring in bosons at low temperatures.
- Understanding the critical exponents of BEC phase transitions is crucial for characterizing the transition dynamics.
Purpose of the Study:
- To investigate the dynamics of Bose-Einstein condensation using the stochastic Gross-Pitaevskii equation.
- To establish a method for determining critical exponents (z and nu) of BEC phase transitions.
Main Methods:
- Numerical simulations employing the stochastic Gross-Pitaevskii equation.
- Analysis of soliton formation and density during the cooling process.
- Calculation of two-point correlation functions.
Main Results:
- Cooling into a BEC generates solitons whose density is directly related to the cooling rate and critical exponents.
- The density of these solitons provides a direct measure of the critical exponents z and nu.
- Two-point correlation functions also contain information about these critical exponents.
Conclusions:
- Soliton counting offers a novel experimental method to determine BEC phase transition critical exponents.
- The stochastic Gross-Pitaevskii equation accurately models BEC dynamics and soliton formation.
- This work provides a new pathway for experimental characterization of quantum phase transitions.
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