Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Thermodynamics and renormalized quasi-particles in the vicinity of the
  dilute Bose gas quantum critical point in two dimensions   We use the functional renormalization group (FRG) to derive analytical
expressions for thermodynamic observables (density, pressure, entropy, and
compressibility) as well as for single-particle properties (wavefunction
renormalization and effective mass) of interacting bosons in two dimensions as
a function of temperature $T$ and chemical potential $\mu$. We focus on the
quantum disordered and the quantum critical regime close to the dilute Bose gas
quantum critical point. Our approach is based on a truncated vertex expansion
of the hierarchy of FRG flow equations and the decoupling of the two-body
contact interaction in the particle-particle channel using a suitable
Hubbard-Stratonovich transformation. Our analytic FRG results extend previous
analytical renormalization group calculations for thermodynamic observables at
$\mu =0$ to finite values of $\mu$. To confirm the validity of our FRG
approach, we have also performed quantum Monte Carlo simulations to obtain the
magnetization, the susceptibility, and the correlation length of the
two-dimensional spin-$1/2$ quantum $XY$ model with coupling $J$ in a regime
where its quantum critical behavior is controlled by the dilute Bose gas
quantum critical point. We find that our analytical results describe the Monte
Carlo data for $\mu \leq 0$ rather accurately up to relatively high
temperatures $T \lesssim 0.1 J$.

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The categories of this paper are: chao-dyn
13
The categories of this paper are: quant-ph
37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
21
The categories of this paper are: adap-org
18
The categories of this paper are: econ
20
The categories of this paper are: acc-phys
2
The categories of this paper are: math
12
The categories of this paper are: nucl-th
5
The categories of this paper are: gr-qc
7
The categories of this paper are: hep-th
3
The categories of this paper are: physics
19
The categories of this paper are: eess
35
The categories of this paper are: mtrl-th
0
The categories of this paper are: hep-ph
25
The categories of this paper are: patt-sol