Description
The energy of ultra-dilute quantum many-body systems is known to be a
universal function of the gas parameter $x = n a_0^d$, where n is the density,
a0 the s-wave scattering length, and d the dimensionality of the space (d =
1, 2, 3) [1]. The universal regime typically holds only at small x and
extends up to values no larger than 0.001 [2,3]. Beyond that point, specific
details of the interaction start to be relevant, and different interactions
with the same s-wave scattering length lead to different predictions. Dipolar
systems are peculiar in this regard since the anisotropy of the interaction
makes a0 depend on the polarization angle α, in such a way that different
combinations of n and α value of the gas parameter x [4]. In this work we
analyze the scaling properties of a system of polarized dipolar bosons in two
dimensions as a function of the density and polarization dependent scattering
length, up to very large values of x. We study the energy per particle and
main structural properties of the ground state as a function of the density and
scattering length at fixed gas parameter. We find that the dipolar
interaction shows relevant scaling relations up to unusually large values of
x that hold almost to the boundaries in the phase diagram where a transition
to a stripe phase takes place. The impact of the anisotropy of the interaction
in this context is also analyzed.
[1] T.D. Lee and C.N. Yang, Phys. Rev. 105, 1119 (1957)
[2] F. Mazzanti, A. Polls, and A. Fabrocini, Phys. Rev. A67, 063615, (2003).
[3] S. Giorgini, J. Boronat, and J. Casulleras, Phys. Rev. A60, 5129 (1999).
[4] A. Macia, F. Mazzanti, J. Boronat, and R. E. Zillich, Phys. Rev. A84,
033625 (2011).
| Presenter name | Ferran Mazzanti |
|---|---|
| How will you attend ICAP-27? | I am planning on in-person attendance |
