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Fractonic superfluids

Jian-Keng Yuan, Shuai A. Chen, Peng Ye

2020Physical Review Research82 citationsDOIOpen Access PDF

Abstract

This paper proposes a fractonic superfluid, in which both particle number and total dipole moments are conserved. The minimal Hamiltonian hence becomes quartic and the associated Gross-Pitaevskii equations become highly nonlinear, with the classical ground states made of plane waves, and quantum fluctuations leading to lower critical dimensions $d=2$.

Topics & Concepts

SuperfluidityQuartic functionHamiltonian (control theory)PhysicsDipoleQuantumNonlinear systemQuantum mechanicsMathematical physicsClassical mechanicsMathematicsPure mathematicsMathematical optimizationCold Atom Physics and Bose-Einstein CondensatesQuantum, superfluid, helium dynamicsQuantum many-body systems
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