Dynamical critical scaling of long-range interacting quantum magnets

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dc.contributor.authorDefenu, Nicoloen_ZA
dc.contributor.authorEnss, Tilmanen_ZA
dc.contributor.authorKastner, Michaelen_ZA
dc.contributor.authorMorigi, Giovannaen_ZA
dc.date.accessioned2019-10-25T12:08:36Z
dc.date.available2019-10-25T12:08:36Z
dc.date.issued2018
dc.descriptionCITATION: Defenu, N., et al. 2018. Dynamical critical scaling of long-range interacting quantum magnets. Physical Review Letters, 121(24):240403, doi:10.1103/PhysRevLett.121.240403.en_ZA
dc.descriptionThe original publication is available at https://journals.aps.org/prlen_ZA
dc.description.abstractSlow quenches of the magnetic field across the paramagnetic-ferromagnetic phase transition of spin systems produce heat. In systems with short-range interactions the heat exhibits universal power-law scaling as a function of the quench rate, known as Kibble-Zurek scaling. In this work we analyze slow quenches of the magnetic field in the Lipkin-Meshkov-Glick (LMG) model, which describes fully connected quantum spins. We analytically determine the quantum contribution to the residual heat as a function of the quench rate δ by means of a Holstein-Primakoff expansion about the mean-field value. Unlike in the case of short-range interactions, scaling laws in the LMG model are only found for a ramp starting or ending at the critical point. If instead the ramp is symmetric, as in the typical Kibble-Zurek scenario, then the number of excitations exhibits a crossover behavior as a function of δ and tends to a constant in the thermodynamic limit. Previous, and seemingly contradictory, theoretical studies are identified as specific limits of this dynamics. Our results can be tested on several experimental platforms, including quantum gases and trapped ions.en_ZA
dc.description.urihttps://journals.aps.org/prl/abstract/10.1103/PhysRevLett.121.240403
dc.description.versionPublisher's versionen_ZA
dc.format.extent6 pages : illustrations (some colour)en_ZA
dc.identifier.citationDefenu, N., et al. 2018. Dynamical critical scaling of long-range interacting quantum magnets. Physical Review Letters, 121(24):240403, doi:10.1103/PhysRevLett.121.240403en_ZA
dc.identifier.issn1079-7114 (online)
dc.identifier.issn0031-9007 (print)
dc.identifier.otherdoi:10.1103/PhysRevLett.121.240403
dc.identifier.urihttp://hdl.handle.net/10019.1/106730
dc.language.isoen_ZAen_ZA
dc.publisherAmerican Physical Societyen_ZA
dc.rights.holderAmerican Physical Societyen_ZA
dc.subjectQuantum magnetsen_ZA
dc.subjectThermodynamic limiten_ZA
dc.subjectBose-Einstein condensatesen_ZA
dc.subjectCritical scalingen_ZA
dc.subjectParticles (Nuclear physics)en_ZA
dc.titleDynamical critical scaling of long-range interacting quantum magnetsen_ZA
dc.typeArticleen_ZA
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