Thermalization with detailed-balanced two-site Lindblad dissipators

Area of Science:

• Quantum mechanics
• Statistical physics
• Condensed matter physics

Background:

• Two-site Lindblad dissipators are crucial for generating thermal states and studying quantum heat transport.
• The Prosen and Žnidarič method is a prominent approach in this field.

Purpose of the Study:

• To propose and characterize a variant of the two-site Lindblad dissipator method.
• To investigate thermalization profiles, effective temperatures, and correlation decay in quantum systems.

Main Methods:

• Developing a novel two-site Lindblad dissipator method based on detailed balance.
• Analyzing thermalization using single- and two-site observables.
• Studying the decay of two-time correlations.

Main Results:

• The proposed method effectively generates thermal states.
• At sufficiently high temperatures, the steady state closely approximates a true thermal state.
• Relative error in inverse temperature estimation is below 1% across various observables.

Conclusions:

• The variant method offers a robust way to achieve thermal states in quantum systems.
• This approach is valuable for simulating and understanding quantum heat transport phenomena.
• The findings validate the method's accuracy and applicability in relevant temperature regimes.