Undamped Modes in an N-Qubit Heisenberg Chain with Collective Dissipation

• URL: http://arxiv.org/abs/2607.02054v1
• Date: Thu, 02 Jul 2026 11:31:14 GMT
• Title: Undamped Modes in an N-Qubit Heisenberg Chain with Collective Dissipation
• Abstract summary: We show that undamped modes exist for any chain length N >= 3.<n>We characterize the number of undamped modes and their oscillation frequencies, uncovering long-lived coherent dynamics in open integrable quantum systems.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We investigate the undamped behaviors in a spin-1/2 Heisenberg chain coupled with an environment via collective spin jump operators. Using the Bethe ansatz basis, we show that undamped modes exist for any chain length N >= 3. These modes remain robust against variations in the system parameters, including the specific form of the collective dissipation, and the external field. Exploiting the Bethe ansatz solution, we further characterize the number of undamped modes and their oscillation frequencies, uncovering long-lived coherent dynamics in open integrable quantum systems.

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