In a two-parameter family of quadratic bosonic Hamiltonians from a modified bosonic SSH model, topological phase transitions occur along lines of Krein collisions and topological classification holds in both stable and unstable regimes via symplectic Berry phase and index theory.
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k-local quantum Hamiltonians admit system-size-independent spectral gap for Gibbs samplers at high temperature, enabling FPT quantum approximation algorithms for partition functions.
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Decoupling band topology from criticality in bosonic systems
In a two-parameter family of quadratic bosonic Hamiltonians from a modified bosonic SSH model, topological phase transitions occur along lines of Krein collisions and topological classification holds in both stable and unstable regimes via symplectic Berry phase and index theory.
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Fast mixing of all-to-all quantum systems at high temperatures
k-local quantum Hamiltonians admit system-size-independent spectral gap for Gibbs samplers at high temperature, enabling FPT quantum approximation algorithms for partition functions.