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This research establishes a new theoretical framework for non-Hermitian Bloch oscillations, revealing discontinuous jumps in group velocity within quantum lattices driven by external forces. The findings describe anomalous wave propagation and momentum drift that deviate from conventional energy-conserving systems, offering deeper insights into the dynamics of open quantum systems.

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Ozawa and Colleagues Models Non-Hermitian Framework for Wave-Packet Dynamics

Quantum ZeitgeistJuly 17, 20264 min read

Wave-packet trajectories in one-dimensional lattices now exhibit periodic cusps and discontinuous jumps in group velocity when a force is applied in one direction. This contrasts with previous observations of power oscillations and asymmetric patterns in similar systems. Establishing a general framework for these non-Hermitian Bloch oscillations reveals previously unseen behaviours, including periodic temporal shifts and anomalous wave propagation.

Non-Hermitian Bloch oscillations, the periodic motion of quantum particles in lattices with a driving force, are now understood through a new framework developed by Yanyan He and Tomoki Ozawa at Tohoku University. This framework reveals nonreciprocal non-smooth Bloch oscillations characterised by periodic jumps in group velocity. Wave-packet momentum drifts at a rate of -F/2, uncovering periodic temporal shifts and unusual wave propagation in lattices with unidirectional hopping. The behaviour of waves in specifically designed, non-Hermitian systems revealed unusual…

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