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Adiabatic dynamics in open quantum critical many-body systems
Dario Patanè1, Alessandro Silva, Luigi Amico
1Departamento de Física de Materiales, Universidad Complutense de Madrid, 28040 Madrid, Spain.
Physical Review Letters
|November 13, 2008
Summary
External environments impact quantum critical systems. This study reveals how quench velocity and bath temperature influence excitation density in adiabatic dynamics, confirmed with a quantum Ising model simulation.
Area of Science:
- Condensed matter physics
- Quantum dynamics
- Statistical mechanics
Background:
- Quantum critical systems exhibit unique behavior near absolute zero.
- Understanding their response to external perturbations is crucial for quantum technologies.
- Adiabatic dynamics describes how quantum systems evolve slowly under changing conditions.
Purpose of the Study:
- To investigate the influence of an external environment on adiabatic dynamics in quantum critical systems.
- To derive a general scaling relation for excitation production during a quantum quench.
- To analyze the role of quench velocity and environmental temperature.
Main Methods:
- Employing scaling arguments to derive theoretical predictions.
- Analyzing the dynamics of a one-dimensional quantum Ising model.
- Coupling the system to an Ohmic bath to simulate environmental interaction.
Main Results:
- A general expression for excitation density as a function of quench velocity and bath temperature was derived.
- The scaling analysis was validated through explicit solutions.
- The behavior of a specific quantum model (1D Ising) coupled to a bath was determined.
Conclusions:
- The external environment significantly affects the adiabatic dynamics of quantum critical systems.
- The derived scaling relation provides a predictive tool for excitation generation.
- The study offers insights into quantum system behavior under realistic conditions.
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