Localized Fock Space Cages in Kinetically Constrained Models

• URL: http://arxiv.org/abs/2504.20987v1
• Date: Tue, 29 Apr 2025 17:56:25 GMT
• Title: Localized Fock Space Cages in Kinetically Constrained Models
• Authors: Cheryne Jonay, Frank Pollmann,
• Abstract summary: We investigate a mechanism for non-ergodic behavior in many-body quantum systems arising from destructive interference.<n>We identify conditions under which similar interference effects produce Fock space cages (FSCs)-highly localized many-body eigenstates.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We investigate a mechanism for non-ergodic behavior in many-body quantum systems arising from destructive interference, leading to localization in Fock space. Drawing parallels with single-particle flat-band localization and Aharonov-Bohm cages, we identify conditions under which similar interference effects in the many-body domain produce Fock space cages (FSCs)-highly localized many-body eigenstates. By interpreting Fock space as a graph where nodes represent bitstring basis states and edges denote non-zero transition amplitudes of the Hamiltonian, we analyze different kinetically constrained models. The FSCs cause non-ergodic dynamics when the system is initialized within their support, highlighting a universal interference-driven localization mechanism in many-body systems.

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