Integrability of a disordered Heisenberg spin-1/2 chain

Abstract

We investigate how the transition from integrability to nonintegrability occurs by changing the parameters of the Hamiltonian of a Heisenberg spin-1/2 chain with defects. Randomly distributed defects may lead to quantum chaos. A similar behavior is obtained in the presence of a single defect out of the edges of the chain, suggesting that randomness is not the cause of chaos in these systems, but the mere presence of a defect.

4 pages, 4 figures

References in corpus (10)

• Random Matrix Theories in Quantum Physics: Common Concepts
• Emergence of quantum chaos in finite interacting Fermi systems
• Boundary conditions at the mobility edge
• Level repulsion in integrable and almost-integrable quantum spin models
• Integrability and Quantum Chaos in Spin Glass Shards
• Dynamics of entanglement in quantum computers with imperfections
• Delocalization border and onset of chaos in a model of quantum computation
• Two-particle localization and antiresonance in disordered spin and qubit chains
• Avoiding Quantum Chaos in Quantum Computation
• Antiresonance and interaction-induced localization in spin and qubit chains with defects

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