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Irreversible processes without energy dissipation in an isolated Lipkin-Meshkov-Glick model
Ricardo Puebla1,2, Armando Relaño3
1Institut für Theoretische Physik, Albert-Einstein Allee 11, Universität Ulm, 89069 Ulm, Germany.
Summary
This study reveals irreversible quantum processes without energy dissipation. Information loss occurs during closed cycles, demonstrated in the Lipkin-Meshkov-Glick model, impacting quantum system irreversibility.
Area of Science:
- Quantum mechanics
- Statistical mechanics
- Quantum information theory
Background:
- Isolated quantum systems typically conserve energy.
- Irreversibility in quantum mechanics is often associated with energy dissipation.
- Understanding information dynamics is crucial for quantum computing and thermodynamics.
Purpose of the Study:
- To identify and characterize irreversible processes in isolated quantum systems that do not involve energy dissipation.
- To investigate the relationship between information loss and irreversibility.
- To quantify the change in quantum entropy during these processes.
Main Methods:
- Theoretical analysis of isolated quantum systems undergoing closed cycles.
- Examination of symmetry-breaking observables and their expectation values.
- Calculation of von Neumann entropy for time-averaged equilibrium states.
- Numerical simulations using the Lipkin-Meshkov-Glick model.
Main Results:
- Demonstrated existence of irreversible processes without energy dissipation in certain quantum systems.
- Observed a decrease in the expectation value of a symmetry-breaking observable from non-zero to zero after a closed cycle.
- Quantified unavoidable information loss and its connection to irreversibility.
- Showed an increase in von Neumann entropy of time-averaged states, matching the information loss.
Conclusions:
- Irreversibility in isolated quantum systems can arise from information loss, not solely energy dissipation.
- Symmetry breaking plays a key role in these non-dissipative irreversible processes.
- The findings have implications for understanding the foundations of quantum mechanics and the limits of quantum information processing.
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