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Decoherence-free subspaces (DFSs) provide a strategy for protecting the dynamics of an open system from decoherence induced by the system-environment interaction. So far, DFSs have been primarily studied in the framework of Markovian master…

Quantum Physics · Physics 2013-05-30 Heng-Na Xiong , Wei-Min Zhang , Matisse Wei-Yuan Tu , Daniel Braun

We study correlations in fermionic lattice systems with long-range interactions in thermal equilibrium. We prove a bound on the correlation decay between anti-commuting operators and generalize a long-range Lieb-Robinson type bound. Our…

Quantum Physics · Physics 2017-09-15 Senaida Hernández-Santana , Christian Gogolin , J. Ignacio Cirac , Antonio Acín

We consider the dynamics of the 1+1 dimensional abelian Higgs model with axially coupled fermions, in the large N_f limit, on a lattice in space and real-time. We allow for inhomogeneous classical Bose fields. In order to deal with the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Gert Aarts , Jan Smit

We construct the Schr\"odinger Functional (SF) setup for the M\"obius domain wall fermions (MDWF). The method is an extension of the method proposed by Takeda for the standard domain wall fermion. In order to fulfill the requirement that…

High Energy Physics - Lattice · Physics 2014-10-31 Yuko Murakami , Ken-Ichi Ishikawa

We formulate Dirac fermions on a (1+1)-dimensional lattice based on a Hamiltonian formalism. The species doubling problem of the lattice fermion is resolved by introducing hopping interactions that mix left- and right-handed fermions around…

High Energy Physics - Lattice · Physics 2009-11-10 Takanori Sugihara

We present a fermion model that is, as we suggest, a natural 2D analogue of the Luttinger model. We derive this model as a partial continuum limit of a 2D spinless lattice fermion system with local interactions and away from half filling.…

Mathematical Physics · Physics 2010-04-15 Edwin Langmann

Dynamical Mean-Field Theory (DMFT) has opened new perspectives for the investigation of strongly correlated electron systems and greatly improved our understanding of correlation effects in models and materials. In contrast to…

Strongly Correlated Electrons · Physics 2020-07-16 Dieter Vollhardt

We present the full analysis of the normal state of the spin-fermion model near the antiferromagnetic instability in two dimensions. This model describes low-energy fermions interacting with their own collective spin fluctuations, which…

Superconductivity · Physics 2007-05-23 Ar. Abanov , Andrey V. Chubukov , J. Schmalian

Applying Feynman diagrammatics to non-fermionic strongly correlated models with local constraints might seem generically impossible for two separate reasons: (i) the necessity to have a Gaussian (non-interacting) limit on top of which the…

Statistical Mechanics · Physics 2016-11-24 Lode Pollet , Mikhail N. Kiselev , Nikolay V. Prokof'ev , Boris V. Svistunov

The problem of finding of the ferromagnetic and antiferromagnetic "symmetry broken" solutions of the correlated lattice fermion models beyond the mean-field approximation has been investigated. The calculation of the quasiparticle…

Strongly Correlated Electrons · Physics 2007-05-23 A. L. Kuzemsky

We present an analytic approach to solving 1+1 dimensional QCD with an adjoint Majorana fermion. In the UV this theory is described by a trivial CFT containing free fermions. The quasi-primary operators of this CFT lead to a discrete basis…

High Energy Physics - Theory · Physics 2015-06-17 Emanuel Katz , Gustavo Marques Tavares , Yiming Xu

We apply a new anticommuting path integral technique to clarify the fermionic structure of the 2D Ising model with quenched site dilution. In the $N$-replica scheme, the model is explicitly reformulated as a theory of interacting fermions…

Disordered Systems and Neural Networks · Physics 2009-10-30 V. N. Plechko

One of the challenging features of studying model Hamiltonians with cold atoms in optical lattices is the presence of spatial inhomogeneities induced by the confining potential, which results in the coexistence of different phases. This…

Strongly Correlated Electrons · Physics 2015-06-04 J. D. Cone , S. Chiesa , V. R. Rousseau , G. G. Batrouni , R. T. Scalettar

The spin-fermion model was previously successful to describe the complex phase diagrams of colossal magnetoresistive manganites and iron-based superconductors. In recent years, two-dimensional magnets have rapidly raised up as a new…

Strongly Correlated Electrons · Physics 2023-08-22 Kaidi Xu , Di Hu , Jun Chen , Haoshen Ye , Lin Han , Shan-Shan Wang , Shuai Dong

We present a method to compute the Fermi function of the Hamiltonian for a system of independent fermions, based on an exact decomposition of the grand-canonical potential. This scheme does not rely on the localization of the orbitals and…

Materials Science · Physics 2009-11-13 Michele Ceriotti , Thomas Kuehne , Michele Parrinello

We present in detail two variants of the lattice Monte Carlo method aimed at tackling systems in external trapping potentials: a uniform-lattice approach with hard-wall boundary conditions, and a non-uniform Gauss-Hermite lattice approach.…

Quantum Gases · Physics 2016-09-20 Casey E. Berger , Joaquín E. Drut , William J. Porter

We develop a discrete fermion approach for modelling the strong interaction of an arbitrary system interacting with continuum electronic reservoirs. The approach is based on a pseudo-fermion decomposition of the continuum bath correlation…

We present a model that generalizes the Bose-Fermi mapping for strongly correlated 1D bosons in an optical lattice, to cases in which the average number of atoms per site is larger than one. This model gives an accurate account of…

Other Condensed Matter · Physics 2009-11-11 Guido Pupillo , Ana Maria Rey , Carl J. Williams , Charles W. Clark

We give a self-contained exposition of the combinatorial solution of quantum mechanical systems of coupled spins on a one-dimensional lattice. Using Trotter formula, we write the partition function as a generating function of a spanning…

Statistical Mechanics · Physics 2007-05-23 Domingos H. U. Marchetti , Claudio F. S. Rodrigues

The matrix model formulation of two dimensional string theory has been shown to admit time dependent classical solutions whose closed string duals are geodesically incomplete space-times with space-like boundaries. We investigate some…

High Energy Physics - Theory · Physics 2008-11-26 Sumit R. Das , Luiz H. Santos