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We calculate experimentally relevant properties of trapped fermionic alkaline earth atoms in an optical lattice, modeled by the SU(N) Hubbard model. Our calculation is accurate when the temperature is much larger than the tunneling rate,…

Quantum Gases · Physics 2012-07-10 Kaden R. A. Hazzard , Victor Gurarie , Michael Hermele , Ana Maria Rey

We discuss the lattice formulation of gauge theories with fermions in arbitrary representations of the color group, and present in detail the implementation of the HMC/RHMC algorithm for simulating dynamical fermions. We discuss the…

High Energy Physics - Lattice · Physics 2014-11-18 Luigi Del Debbio , Agostino Patella , Claudio Pica

We propose an experimental scheme to favor both the realization and the detection of the N\'eel state in a two-component gas of ultracold fermions in a three-dimensional simple-cubic optical lattice. By adding three compensating Gaussian…

Quantum Gases · Physics 2012-08-16 Charles J. M. Mathy , David A. Huse , Randall G. Hulet

We present and test a new method for simulating dynamical fermions with fat links. Our construction is based on the introduction of auxiliary but dynamical gauge fields and works with any fermionic action and can be combined with any…

High Energy Physics - Lattice · Physics 2009-10-31 F. Knechtli , A. Hasenfratz

We show that quantum number preserving Ans\"{a}tze for variational optimization in quantum chemistry find an elegant mapping to ultracold fermions in optical superlattices. Using native Hubbard dynamics, trial ground states of molecular…

Quantum Gases · Physics 2025-02-26 Fotios Gkritsis , Daniel Dux , Jin Zhang , Naman Jain , Christian Gogolin , Philipp M. Preiss

Applying domain decomposition to the lattice Dirac operator and the associated quark propagator, we arrive at expressions which, with the proper insertion of random sources therein, can provide improvement to the estimation of the…

High Energy Physics - Lattice · Physics 2009-11-11 Tommy Burch , Christian Hagen

I present a selection of recent lattice results in flavourdynamics, including the status of the calculation of quark masses and a variety of weak matrix elements relevant for the determination of CKM matrix elements. Recent improvements in…

High Energy Physics - Lattice · Physics 2009-10-09 Chris T Sachrajda

We theoretically consider non-interacting fermions confined to optical lattices and apply a lattice amplitude modulation that we choose to be either homogeneous or of superlattice geometry. We study the atom excitation rate to higher Bloch…

Quantum Gases · Physics 2018-01-25 Karla Loida , Ameneh Sheikhan , Corinna Kollath

We analyze the many-particle Schrodinger equation for fermions in a thermal ensemble by introducing an exponential operator expansion, defined in the context of thermofield dynamics. The expansion is optimized variationally at each time…

Statistical Mechanics · Physics 2020-01-10 Edward B. Baker

I review the present status of nonperturbative studies on the nature of the finite temperature QCD transition on the lattice, with the special attention to the determination of the order of the transition. [Talk given at the International…

Astrophysics · Physics 2016-08-30 Kazuyuki Kanaya

We study the linear response to an external electric field of a system of fermions in a lattice at zero temperature. This allows to measure numerically the Euclidean conductivity which turns out to be compatible with an analytical…

Condensed Matter · Physics 2009-10-31 J. L. Alonso , L. A. Fernandez , V. Martin-Mayor

The lattice QCD field is currently undergoing a revolution in the manner in which improvements of the approach are being implemented. We are examining the utility of order-a^2-improved tadpole-improved actions for the light fermion sector.…

High Energy Physics - Lattice · Physics 2007-05-23 Frank X. Lee , Derek B. Leinweber

A new deterministic, numerical method to solve fermion field theories is presented. This approach is based on finding solutions $Z[J]$ to the lattice functional equations for field theories in the presence of an external source $J$. Using…

High Energy Physics - Theory · Physics 2009-10-28 John W. Lawson , G. S. Guralnik

Recently, a cooling scheme for ultracold atoms in a bilayer optical lattice has been proposed [A. Kantian et al., arXiv:1609.03579]. In their scheme, the energy offset between the two layers is increased dynamically such that the entropy of…

Quantum Gases · Physics 2017-12-05 Shimpei Goto , Ippei Danshita

I summarize recent lattice results on QCD at finite temperatures and densities. Studies on the nature of the QCD transition at the physical point, continuum extra polations of thermodynamic quantities, and new calculations of hadronic…

High Energy Physics - Phenomenology · Physics 2009-11-07 Kazuyuki Kanaya

Representing the time-evolution operator as a tensor network constitutes a key ingredient in several algorithms for studying quantum lattice systems at finite temperature or in a non-equilibrium setting. For a Hamiltonian composed of…

Strongly Correlated Electrons · Physics 2026-02-26 Sander De Meyer , Atsushi Ueda , Yuchi He , Nick Bultinck , Jutho Haegeman

We simulate lattice QCD with an irrelevant chiral 4-fermion interaction which allows us to simulate at zero quark mass. This enables us to study the finite-temperature chiral-symmetry-restoring phase transition for 2 massless quark…

High Energy Physics - Lattice · Physics 2007-05-23 J. B. Kogut , D. K. Sinclair

Applying domain decomposition to the lattice Dirac operator and the associated quark propagator, we arrive at expressions which, with the proper insertion of random sources therein, can provide improvement to the estimation of the…

High Energy Physics - Lattice · Physics 2008-11-26 Tommy Burch , Christian Hagen

It is shown that the interplay of a confining potential with a periodic potential leads for free particles to states spatially confined on a fraction of the total extension of the system. A more complex `slicing' of the system can be…

Statistical Mechanics · Physics 2016-08-31 Marcos Rigol , Alejandro Muramatsu

Spectroscopic tools are fundamental for the understanding of complex quantum systems. Here we demonstrate high-precision multi-band spectroscopy in a graphene-like lattice using ultracold fermionic atoms. From the measured band structure,…