Observation of Pauli Crystals

Holten, Marvin; Bayha, Luca; Subramanian, Keerthan; Heintze, Carl; Preiss, Philipp M.; Jochim, Selim

doi:10.1103/physrevlett.126.020401

Cited by 65 publications

(52 citation statements)

References 24 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…Reference [67] and reference [68] report detection of Pauli crystals. We suggest that modeling based on the notion of jay bosons might help explain relevant phenomena.…”

Section: Interactions Involving the Jay Bosonmentioning

confidence: 99%

Models That Link and Suggest Data about Elementary Particles, Dark Matter, and the Cosmos

Buckholtz¹

2022

Preprint

View full text Add to dashboard Cite

show abstract

“…Reference [67] and reference [68] report detection of Pauli crystals. We suggest that modeling based on the notion of jay bosons might help explain relevant phenomena.…”

Section: Interactions Involving the Jay Bosonmentioning

confidence: 99%

Models That Link and Suggest Data about Elementary Particles, Dark Matter, and the Cosmos

Buckholtz¹

2022

Preprint

View full text Add to dashboard Cite

show abstract

“…Reference [55] and reference [56] report detection of Pauli crystals. We suggest that modeling based on the notion of jay bosons might help explain relevant phenomena.…”

Section: Interactions Involving the Jay Bosonmentioning

confidence: 99%

Models That Link and Suggest Data about Elementary Particles, Dark Matter, and the Cosmos

Buckholtz¹

2022

Preprint

View full text Add to dashboard Cite

show abstract

“…This is important for applications e.g. to cold atoms experiments [26][27][28][29] where the fermions are in traps of tunable shapes [30,31]. In a confining potential, the Fermi gas is supported over a finite domain.…”

Section: Overviewmentioning

confidence: 99%

Full counting statistics for interacting trapped fermions

et al. 2021

View full text Add to dashboard Cite

We study NN spinless fermions in their ground state confined by an external potential in one dimension with long range interactions of the general Calogero-Sutherland type. For some choices of the potential this system maps to standard random matrix ensembles for general values of the Dyson index \betaβ. In the fermion model \betaβ controls the strength of the interaction, \beta=2β=2 corresponding to the noninteracting case. We study the quantum fluctuations of the number of fermions N_DND in a domain DD of macroscopic size in the bulk of the Fermi gas. We predict that for general \betaβ the variance of N_DND grows as A_{\beta} \log N + B_{\beta}AβlogN+Bβ for N \gg 1N≫1 and we obtain a formula for A_\betaAβ and B_\betaBβ. This is based on an explicit calculation for \beta\in\left\{ 1,2,4\right\}β∈{1,2,4} and on a conjecture that we formulate for general \betaβ. This conjecture further allows us to obtain a universal formula for the higher cumulants of N_DND. Our results for the variance in the microscopic regime are found to be consistent with the predictions of the Luttinger liquid theory with parameter K = 2/\betaK=2/β, and allow to go beyond. In addition we present families of interacting fermion models in one dimension which, in their ground states, can be mapped onto random matrix models. We obtain the mean fermion density for these models for general interaction parameter \betaβ. In some cases the fermion density exhibits interesting transitions, for example we obtain a noninteracting fermion formulation of the Gross-Witten-Wadia model.

show abstract

Observation of Pauli Crystals

Cited by 65 publications

References 24 publications

Models That Link and Suggest Data about Elementary Particles, Dark Matter, and the Cosmos

Models That Link and Suggest Data about Elementary Particles, Dark Matter, and the Cosmos

Models That Link and Suggest Data about Elementary Particles, Dark Matter, and the Cosmos

Full counting statistics for interacting trapped fermions

Contact Info

Product

Resources

About