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THU: Thursday Contributed Sessions
THU 12: Quantum Thermalization: Contributed Session to Symposium
THU 12.3: Vortrag
Donnerstag, 11. September 2025, 14:45–15:00, ZHG105
Generating constraints and Hilbert space fragmentation by periodic driving — •Somsubhra Ghosh1, Indranil Paul2, Krishnendu Sengupta3, and Lev Vidmar1,4 — 1Dept of Theoretical Physics, J. Stefan Institute, Ljubljana, Slovenia — 2Laboratoire Materiaux et Phenomenes Quantiques, Paris, France — 3School of Physical Sciences, Indian Association for the Cultivation of Science, Kolkata, India — 4Dept of Physics, University of Ljubljana, Ljubljana, Slovenia
Hilbert space fragmentation (HSF) has long been proposed as a route to evade thermalization in isolated quantum systems by restricting its dynamics through the imposition of constraints. However, in equilibrium, such constraints are inserted a priori in the Hamiltonian of the system. In one of our earlier works, we had considered one such system and showed that such constraints can be realized through periodic driving. In this work, we generalize this idea and propose a general framework to generate such emergent constraints for a given system. We show that special drive frequencies exist where destructive interference suppresses processes which violate the constraints and thereby reinforces these constraints as emergent phenomena. Led by this insight, we suggest what kind of drive protocol might be suitable to generate a particular constraint for a given system. This result, in fact, goes beyond the purview of HSF and applies to the more general context of emergent symmetries in driven systems. As an application, we use this protocol to spatially localize quantum information in a spin-1/2 chain through HSF.
Keywords: Floquet systems; Hilbert Space Fragmentation; Quantum ergodicity breaking; Constrained systems