Linear-response approach to critical quantum many-body systems
- URL: http://arxiv.org/abs/2204.12335v1
- Date: Tue, 26 Apr 2022 14:21:35 GMT
- Title: Linear-response approach to critical quantum many-body systems
- Authors: Ricardo Puebla, Alessio Belenchia, Giulio Gasbarri, Eric Lutz, Mauro
Paternostro
- Abstract summary: characterization of quantum critical phenomena is pivotal for the understanding and harnessing of quantum many-body physics.
We introduce a general scheme, based on the combination of finite-size scaling and the linear response of a given observable to a time-dependent perturbation.
Remarkably, the scheme is able to tackle both integrable and non-integrable models, prepared away from their ground states.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: The characterization of quantum critical phenomena is pivotal for the
understanding and harnessing of quantum many-body physics. However, their
complexity makes the inference of such fundamental processes difficult. Thus,
efficient and experimentally non-demanding methods for their diagnosis are
strongly desired. Here, we introduce a general scheme, based on the combination
of finite-size scaling and the linear response of a given observable to a
time-dependent perturbation, to efficiently extract the energy gaps to the
lowest excited states of the system, and thus infer its dynamical critical
exponents. Remarkably, the scheme is able to tackle both integrable and
non-integrable models, prepared away from their ground states. It thus holds
the potential to embody a valuable diagnostic tool for experimentally
significant problems in quantum many-body physics.
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