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Dissipative quantum geometric phase in the spin-boson system.

Boyu Wang¹, Milan Radonjić^1,2, Florian Otterpohl¹

¹I. Institut für Theoretische Physik, Universität Hamburg, Notkestraße 9, 22607 Hamburg, Germany.

The Journal of Chemical Physics

|June 8, 2026

Summary

We studied the geometric phase in the spin-boson model using the non-interacting blip approximation (NIBA). Quantum dissipation suppresses this phase by reducing state purity and localizing dynamics.

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Area of Science:

Quantum mechanics
Condensed matter physics

Background:

The spin-boson model describes a two-level system interacting with a bath.
Geometric phase is a fundamental concept in quantum mechanics.

Purpose of the Study:

To investigate the evolution of dissipative geometric phase in the spin-boson model.
To analyze the impact of system-bath coupling and environmental parameters on geometric phase accumulation.

Main Methods:

Utilized the non-interacting blip approximation (NIBA) for non-unitary time evolution.
Derived a Bloch-sphere expression for the mixed-state geometric phase.
Benchmarked NIBA against the time-evolving matrix product operator (TEMPO) technique.

Main Results:

NIBA accurately reproduces population dynamics and captures geometric phase quantitatively and qualitatively.
Dissipative trajectory's azimuthal winding characterizes the mixed-state geometric phase.
Quantum dissipation suppresses geometric phase via thermal noise and static bias.

Conclusions:

NIBA is a reliable method for studying dissipative quantum systems.
Geometric phase is sensitive to environmental conditions and system parameters.
Understanding geometric phase suppression is crucial for quantum information processing.