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Two-dimensional weakly interacting Bose gas in the fluctuation region
We study the crossover between the mean-field and critical behavior of the two-dimensional Bose gas throughout the fluctuation region of the Berezinskii-Kosterlitz-Thouless phase transition point. WeExpand
Critical point of a weakly interacting two-dimensional Bose gas.
The Berezinskii-Kosterlitz-Thouless transition in a weakly interacting 2D quantum Bose gas is studied using the concept of universality and numerical simulations of the classical absolute value psi(4) model on a lattice to study the quasicondensate correlations at the critical point. Expand
Fermi-polaron problem: Diagrammatic Monte Carlo method for divergent sign-alternating series
We use the diagrammatic Monte Carlo approach to solve the problem of a single spin-down fermion resonantly interacting with a Fermi gas of spin-up particles. Our solution is important forExpand
Bold diagrammatic Monte Carlo technique: when the sign problem is welcome.
The T matrix for a Fermi polaron is obtained and the one-particle s-scattering problem is solved and a moderate "sign problem" turns out to be an advantage in terms of the convergence of the process. Expand
Critical temperature and thermodynamics of attractive fermions at unitarity.
A systematic-error-free finite-temperature simulation of the unitarity regime of the BCS-BEC crossover can be realized by diluting a system of two-component lattice fermions with an on-site attractive interaction by diagrammatic determinant Monte Carlo method. Expand
Theory of the spin bath
The quantum dynamics of mesoscopic or macroscopic systems is always complicated by their coupling to many `environmental' modes. At low T these environmental effects are dominated by localized modes,Expand
Monte Carlo study of the two-dimensional Bose-Hubbard model
One of the most promising applications of ultracold gases in optical lattices is the possibility to use them as quantum emulators of more complex condensed matter systems. We provide benchmarkExpand
Sharp transition for single polarons in the one-dimensional Su-Schrieffer-Heeger model.
Polarons show a smooth crossover from weak to strong coupling, as a function of the electron-phonon coupling strength λ, in all models where this coupling depends only on phonon momentum q; in the SSH model the coupling also depends on the electron momentum k; it is found it has a sharp transition, at a critical coupling strengthλ(c), between states with zero and nonzero momentum of the ground state. Expand
Strongly correlated 2D quantum phases with cold polar molecules: controlling the shape of the interaction potential.
We discuss techniques to tune and shape the long-range part of the interaction potentials in quantum gases of bosonic polar molecules by dressing rotational excitations with static and microwaveExpand
Worm algorithm and diagrammatic Monte Carlo: a new approach to continuous-space path integral Monte Carlo simulations.
A detailed description is provided of a new worm algorithm, enabling the accurate computation of thermodynamic properties of quantum many-body systems in continuous space, at finite temperature, within the general path integral Monte Carlo scheme. Expand