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We investigate the scaling of the R\'{e}nyi entanglement entropies for a particle bipartition of interacting spinless fermions in one spatial dimension. In the Tomonaga-Luttinger liquid regime, we calculate the second R\'{e}nyi entanglement…

Quantum Gases · Physics 2017-08-28 Hatem Barghathi , Emanuel Casiano-Diaz , Adrian Del Maestro

We present a class of one-dimensional generic spinless fermion lattice Hamiltonians that express quasi-Fermi liquid physics, manifesting both Luttinger and Fermi liquid features due to solely irrelevant interactions. Using infinite matrix…

Strongly Correlated Electrons · Physics 2025-10-28 Joshua D. Baktay , Adrian E. Feiguin , Julian Rincon

The role of symmetries in what concerns entanglement entropy has been extensively explored in the last years and revealed a profound connection with the quantum field theory's algebraic structure. Recently, it was found that some universal…

High Energy Physics - Theory · Physics 2022-07-13 Marina Huerta , Guido van der Velde

Fermionic cold atoms in optical traps provide viable quantum simulators of correlation effects in electronic systems. For dressed Rydberg atoms in two-dimensional traps with out-of-plane dipole moments, a realistic model of the pairwise…

Quantum Gases · Physics 2026-01-13 Clio Johnson , Neil D. Drummond , James P. Hague , Calum MacCormick

We characterize non-perturbatively the R\'enyi entropies of degree n=2,3,4, and 5 of three-dimensional, strongly coupled many-fermion systems in the scale-invariant regime of short interaction range and large scattering length, i.e. in the…

Quantum Gases · Physics 2016-10-12 William J. Porter , Joaquín E. Drut

Atomic Fermi gases have been an ideal platform for simulating conventional and engineering exotic physical systems owing to their multiple tunable control parameters. Here we investigate the effects of mixed dimensionality on the superfluid…

Quantum Gases · Physics 2017-10-12 Leifeng Zhang , Yanming Che , Jibiao Wang , Qijin Chen

Lattice field theory is a useful tool for studying strongly interacting theories in condensed matter physics. A prominent example is the unitary Fermi gas: a two-component system of fermions interacting with divergent scattering length.…

Quantum Gases · Physics 2011-03-23 Olga Goulko , Matthew Wingate

Based on density matrix renormalization group method, we investigate the spin-orbit coupled Fermi gas with attractive interactions in one-dimensional optical lattice and present a complete phase diagram for a quarter-filling system with…

Strongly Correlated Electrons · Physics 2015-11-06 Haiping Hu , Chen Cheng , Yucheng Wang , Hong-Gang Luo , Shu Chen

Particle number conservation in fermionic systems restricts the allowed local operations on bi-partite systems. We show how this restriction is related to measurement entropy of particle fluctuations and compute it for several regimes of…

Quantum Physics · Physics 2009-01-14 I. Klich , L. S. Levitov

We study the dynamics of a heavy particle of mass $M$ moving in a one-dimensional repulsively interacting Fermi gas. The Fermi gas is described using the Luttinger model and bosonization. By transforming to a frame co-moving with the heavy…

Condensed Matter · Physics 2009-10-28 A. H. Castro Neto , Matthew P. A. Fisher

Using classical density functional theory (DFT) in a modified mean-field approximation we investigate the fluid phase behavior of quasi-two dimensional dipolar fluids confined to a plane. The particles carry three-dimensional dipole moments…

Statistical Mechanics · Physics 2013-06-18 R. Geiger , S. H. Klapp

We extend the analysis of the renormalization group flow in the two-dimensional Hubbard model close to half-filling using the recently developed temperature flow formalism. We investigate the interplay of d-density wave and Fermi surface…

Strongly Correlated Electrons · Physics 2009-11-07 C. Honerkamp , M. Salmhofer , T. M. Rice

Topological semimetals are gapless states of matter which have robust and unique electromagnetic responses and surface states. In this paper, we consider semimetals which have point like Fermi surfaces in various spatial dimensions…

Mesoscale and Nanoscale Physics · Physics 2015-08-12 Srinidhi T. Ramamurthy , Taylor L. Hughes

We consider the von Neumann and R\'enyi entropies of the one dimensional quarter-filled Hubbard model. We observe that for periodic boundary conditions the entropies exhibit an unexpected dependence on system size: for L=4 mod 8 the results…

Strongly Correlated Electrons · Physics 2013-03-27 Fabian H. L. Essler , Andreas M. Läuchli , Pasquale Calabrese

The pairing of fermions is at the heart of superconductivity and superfluidity. The recent experimental realization of strongly interacting atomic Fermi gases has opened a new, controllable way to study novel forms of pairing and…

Soft Condensed Matter · Physics 2009-11-13 Yong-il Shin , Christian H. Schunck , Andre Schirotzek , Wolfgang Ketterle

We predict the phase separations of two-dimensional Fermi gases with repulsive contact-type interactions between two spin components. Using density-potential functional theory with systematic semiclassical approximations, we address the…

In one-dimensional (1D) systems, electronic interactions lead to a breakdown of Fermi liquid theory and the formation of a Tomonaga-Luttinger Liquid (TLL). The strength of its many-body correlations can be quantified by a single…

Topologically protected fermionic quasiparticles appear in metals, where band degeneracies occur at the Fermi level, dictated by the band structure topology. While in some metals these quasiparticles are direct analogues of elementary…

Mesoscale and Nanoscale Physics · Physics 2016-07-11 Ziming Zhu , Georg W. Winkler , QuanSheng Wu , Ju Li , Alexey A. Soluyanov

A non-Fermi liquid state without time-reversal and parity symmetries arises when a chiral Fermi surface is coupled with a soft collective mode in two space dimensions. The full Fermi surface is described by a direct sum of chiral patch…

Strongly Correlated Electrons · Physics 2014-07-22 Shouvik Sur , Sung-Sik Lee

The two-dimensional spin-imbalanced Fermi gas subject to s-wave pairing and spin-orbit coupling is considered a promising platform for realizing a topological chiral-p-wave superfluid. In the BCS limit of s-wave pairing, i.e., when Cooper…

Quantum Gases · Physics 2022-11-18 K. Thompson , U. Zülicke , J. Brand