# Dipolar Bose-Hubbard model

@article{Lake2022DipolarBM, title={Dipolar Bose-Hubbard model}, author={Ethan Lake and Michael Hermele and Todadri Senthil}, journal={Physical Review B}, year={2022} }

We study a simple model of interacting bosons on a d -dimensional cubic lattice whose dynamics conserves both total boson number and total boson dipole moment. This model provides a simple framework in which several remarkable consequences of dipole conservation can be explored. As a function of chemical potential and hopping strength, the model can be tuned between gapped Mott insulating phases and various types of gapless condensates. The condensed phase realized at large hopping strengths…

## 6 Citations

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We review a burgeoning ﬁeld of “fractons” - a class of models where quasi-particles are strictly immobile or display restricted mobility that can be understood through generalized multipolar…

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Motivated by a variety of realizations of the compact Lifshitz model I derive its fractonic gauge dual. The resulting U(1) vector gauge theory eﬃciently and robustly encodes the restricted mobility…

## References

SHOWING 1-10 OF 46 REFERENCES

### Observing non-ergodicity due to kinetic constraints in tilted Fermi-Hubbard chains

- PhysicsNature communications
- 2021

Using analytical calculations, this work experimentally studies the relaxation of an initial charge-density wave and finds a remarkably long-lived initial-state memory over a wide range of parameters, which can be attributed to emergent kinetic constraints.

### Fractons

- PhysicsAnnual Review of Condensed Matter Physics
- 2019

Fracton phases constitute a new class of quantum state of matter. They are characterized by excitations that exhibit restricted mobility, being either immobile under local Hamiltonian dynamics or…

### Scalar Field Theories with Polynomial Shift Symmetries

- Mathematics
- 2015

We continue our study of naturalness in nonrelativistic QFTs of the Lifshitz type, focusing on scalar fields that can play the role of Nambu–Goldstone (NG) modes associated with spontaneous symmetry…

### Physics of Liquid Crystals

- Physics, Education
- 2014

Over the 100 years since its discovery, liquid crystals have been the intriguing subject for both academia and industries. The textbook of de Gennes The Physics of Liquid Crystals published in 1974…

### “A and B”:

- PhysicsSophonisba Breckinridge
- 2019

Direct fabrication of large micropatterned single crystals. p1205 21 Feb 2003. (news): Academy plucks best biophysicists from a sea of mediocrity. p994 14 Feb 2003.

### and a at

- ChemistryThe William Makepeace Thackeray Library
- 2018

The xishacorene natural products are structurally unique apolar diterpenoids that feature a bicyclo[3.3.1] framework. These secondary metabolites likely arise from the well-studied, structurally…

### Physical Review B 40

- 546
- 1989

### Physical Review B 72

- 024420
- 2005