Phase diagram and thermodynamics of the three-dimensional Bose-Hubbard model

By B. Capogrosso-Sansone, N. Prokof'ev, B. Svistunov. 2007

211 citations recorded by the source corpus.

We report results of quantum Monte Carlo simulations of the Bose-Hubbard model in three dimensions. Critical parameters for the superfluid-to-Mott-insulator transition are determined with significantly higher accuracy than has been done in the past. In particular, the position of the critical point at filling factor n=1 is found to be at (U/t){sub c}=29.34(2), and the insulating gap {delta} is measured with accuracy of a few percent of the hopping amplitude t. We obtain the effective mass of particle and hole excitations in the insulating state--with explicit demonstration of the emerging particle-hole symmetry and relativistic dispersion law at the transition tip--along with the sound velocity in the strongly correlated superfluid phase. These parameters are the necessary ingredients to perform analytic estimates of the low temperature (T<<{delta}) thermodynamics in macroscopic samples. We present accurate thermodynamic curves, including these for specific heat and entropy, for typical insulating (U/t=40) and superfluid (t/U=0.0385) phases. Our data can serve as a basis for accurate experimental thermometry, and a guide for appropriate initial conditions if one attempts to use interacting bosons in quantum information processing.

Subfields: Atomic and Molecular Physics, and Optics, Condensed Matter Physics

View Paper: https://www.semanticscholar.org/paper/d691a074e6a9434c5a12ea469de7fea773d03be9

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Atomic and Molecular Physics, and Optics

1. Marcos Rigol
2. I. Bloch
3. J. Dalibard
4. W. Zwerger
5. Thierry Giamarchi
6. R. Citro
7. Edmond Orignac
8. A. Eichhorn

In Condensed Matter Physics

1. I. Bloch
2. J. Dalibard
3. W. Zwerger
4. A. Eichhorn
5. Marcos Rigol
6. R. Citro
7. Edmond Orignac
8. Thierry Giamarchi

Citations in the corpus

• The nonperturbative functional renormalization group and its applications (2020, methodology): “) where the initial condition corresponds to the limit of decoupled sites [228,229]. The FRG yields a phase diagram in very good agreement with the (numerically exact) quantum Monte Carlo simulations [522,524] and with an accuracy similar to that obtained from dynamical-mean-field theory [523,526]; s”
• One dimensional bosons: From condensed matter systems to ultracold gases (2011, background): “…than one (Fisher et al., 1989; Rokhsar and Kotliar, 1991), quantum MonteCarlo simulations (Batrouni and Scalettar, 1992; Batrouni et al., 1990; Capogrosso-Sansone et al., 2007, 2008), strong coupling expansions (Elstner and Monien, 1999; Freericks et al., 2009; Freericks and Monien, 1996),…”
• Many-Body Physics with Ultracold Gases (2007, methodology): “This has been achieved on the basis of precise Quantum Monte Carlo calculations for the trapped system at finite temperature and for realistic particle numbers of order 105 bosons (Trotzky et al., 2010).”