Quantum jamming brings quantum mechanics to macroscopic scales
- URL: http://arxiv.org/abs/2307.14979v2
- Date: Thu, 31 Aug 2023 13:27:32 GMT
- Title: Quantum jamming brings quantum mechanics to macroscopic scales
- Authors: Maurizio Fagotti
- Abstract summary: Kinetic constraints can enrich such a description by setting apart different species of quasiparticles.
We study dynamics following a local unjamming perturbation in a jammed state.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: A quantum spin-$\frac{1}{2}$ chain with an axial symmetry is normally
described by quasiparticles associated with the spins oriented along the axis
of rotation. Kinetic constraints can enrich such a description by setting apart
different species of quasiparticles, which can get stuck at high enough
density, realising the quantum analogue of jamming. We identify a family of
interactions satisfying simple kinetic constraints and consider generic
translationally invariant models built up from them. We study dynamics
following a local unjamming perturbation in a jammed state. We show that they
can be mapped into dynamics of ordinary unconstrained systems, but the
nonlocality of the mapping changes the scales at which the phenomena manifest
themselves. Scattering of quasiparticles, formation of bound states, eigenstate
localisation become all visible at macroscopic scales. Depending on whether a
symmetry is present or not, the microscopic details of the jammed state turn
out to have either a marginal or a strong effect. In the former case or when
the initial state is almost homogeneous, we show that even a product state is
turned into a macroscopic quantum state.
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