Adding disorder to the permutation-symmetric kicked top gradually destroys quantum revivals and drives the dynamics from the N+1 symmetric subspace into a chaotic, full 2^N Hilbert space, with entanglement saturating to random-matrix values.
Chaos controlled and disorder driven phase transitions induced by breaking permutation symmetry
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abstract
The effects of disorder and chaos on quantum many-body systems can be superficially similar, yet their interplay has not been sufficiently explored. This work finds a continuous phase transition when disorder breaks permutation symmetry, with details of the transition being controlled by the degree of chaos in the clean limit. The system changes from an area law entangled phase in the permutation symmetric subspace where collective variables exist to volume law entanglement in the full Hilbert space, beyond a critical strength of the disorder. This has potential implications for general many body physics, as well as technologies such as transmon qubits.
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Disordering a permutation symmetric system: revivals, thermalization and chaos
Adding disorder to the permutation-symmetric kicked top gradually destroys quantum revivals and drives the dynamics from the N+1 symmetric subspace into a chaotic, full 2^N Hilbert space, with entanglement saturating to random-matrix values.