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We study theoretically lattice modulation experiments with ultracold fermions in optical lattices. We focus on the regime relevant to current experiments when interaction strength is larger than the bandwidth and temperature is higher than…

Quantum Gases · Physics 2012-05-04 Akiyuki Tokuno , Eugene Demler , Thierry Giamarchi

Quantum lattice systems are rigorously studied at low temperatures. When the Hamiltonian of the system consists of a potential (diagonal) term and a - small - off-diagonal matrix containing typically quantum effects, such as a hopping…

Statistical Mechanics · Physics 2009-10-31 R. Kotecky , D. Ueltschi

The work aims effective and low-dimensional systems. Some different contexts involving gravitational and electromagnetic interactions are investigated. The electromagnetic one approaches bosonic and fermionic Effective Quantum Field…

High Energy Physics - Theory · Physics 2022-10-10 M. G. Campos , L. P. R. Ospedal , J. A. Helayël-Neto

Arrays of Rydberg atoms interacting via dipole-dipole interactions offer a powerful platform for probing quantum many-body physics. However, these intrinsic interactions also determine and constrain the models -- and parameter regimes…

Quantum Gases · Physics 2025-12-16 Mingsheng Tian , Rhine Samajdar , Bryce Gadway

The Fermi-Hubbard model (FHM) on a two dimensional square lattice has long been an important testbed and target for simulating fermionic Hamiltonians on quantum hardware. We present an alternative for quantum simulation of FHMs based on an…

We present quantum Monte Carlo simulations for the chiral Heisenberg Gross-Neveu-Yukawa quantum phase transition of relativistic fermions with $N=4$ Dirac spinor components subject to a repulsive, local four fermion interaction in 2+1$d$.…

Strongly Correlated Electrons · Physics 2019-10-02 Thomas C. Lang , Andreas M. Läuchli

This work presents a digital quantum simulation of a three-level atomic system interacting with a single-mode electromagnetic field based on the Jaynes-Cummings model, implemented on IBM Quantum superconducting processors. A qutrit is…

Quantum Physics · Physics 2026-02-25 J. Thirunirai Selvam , S. Saravana Veni , Ria Rushin Joseph

Many exotic phenomena in strongly correlated electron systems emerge from the interplay between spin and motional degrees of freedom. For example, doping an antiferromagnet gives rise to interesting phases including pseudogap states and…

We propose and analyze an approach to realize quantum computation and simulation using fermionic particles under quantum gas microscopes. Our work is inspired by a recent experimental demonstration of large-scale quantum registers, where…

Quantum Physics · Physics 2023-06-07 Xiangkai Sun , Di Luo , Soonwon Choi

Digital quantum simulation has broad applications in approximating unitary evolution of Hamiltonians. In practice, many simulation tasks for quantum systems focus on quantum states in the low-energy subspace instead of the entire Hilbert…

Quantum Physics · Physics 2024-07-16 Weiyuan Gong , Shuo Zhou , Tongyang Li

In the present work, we propose a scheme for digital formulation of lattice gauge theories with dynamical fermions in 3+1 dimensions. All interactions are obtained as a stroboscopic sequence of two-body interactions with an auxiliary…

Quantum Physics · Physics 2018-10-25 Julian Bender , Erez Zohar , Alessandro Farace , J. Ignacio Cirac

We report a new computational model for simulations of electromagnetic interactions with semiconductor quantum well(s) (SQW) in complex electromagnetic geometries using the finite difference time domain (FDTD) method. The presented model is…

Optics · Physics 2015-03-20 Koustuban Ravi , Qian Wang , Seng-Tiong Ho

In this work we consider a system of spinless fermions with nearest and next-to-nearest neighbor repulsive Hubbard interactions on a honeycomb lattice, and propose and analyze a realistic scheme for analog quantum simulation of this model…

Strongly Correlated Electrons · Physics 2012-12-13 A. Dauphin , M. Müller , M. A. Martin-Delgado

We propose a device for studying the Fermi-Hubbard model with long-range Coulomb interactions using an array of quantum dots defined in a semiconductor two-dimensional electron gas system. Bands with energies above the lowest energy band…

Quantum Physics · Physics 2009-11-13 Tim Byrnes , Na Young Kim , Kenichiro Kusudo , Yoshihisa Yamamoto

Understanding low-energy excitations in fermionic systems is crucial for their characterization. They determine the response of the system to external weak perturbations, its dynamical correlation functions, and provide mechanisms for the…

Quantum Physics · Physics 2025-11-19 Lucia Vilchez-Estevez , Raul A. Santos , Sabrina Yue Wang , Filippo Maria Gambetta

Strongly interacting fermionic systems host a variety of interesting quantum many-body states with exotic excitations. For instance, the interplay of strong interactions and the Pauli exclusion principle can lead to Stoner ferromagnetism,…

Quantum Gases · Physics 2023-03-01 Felix A. Palm , Mert Kurttutan , Annabelle Bohrdt , Ulrich Schollwöck , Fabian Grusdt

The Jordan-Wigner transformation establishes a duality between $su(2)$ and fermionic algebras. We present qualitative arguments and numerical evidence that when mapping spins to fermions, the transformation makes strong correlation weaker,…

Strongly Correlated Electrons · Physics 2022-11-30 Thomas M. Henderson , Guo P. Chen , Gustavo E. Scuseria

Fermionic atoms in optical lattices provide a native implementation of Fermi-Hubbard (FH) models that can be used as analog quantum simulators of many-body fermionic systems. Recent experimental advances include the time-dependent local…

We present a non-perturbative framework for deriving effective Hamiltonians that describe low-energy excitations in quantum many-body systems. The method combines block diagonalization based on the Cederbaum--Schirmer--Meyer transformation…

Strongly Correlated Electrons · Physics 2025-05-19 Tsutomu Momoi , Owen Benton

Relativistic spin effects drive subtle molecular phenomena ranging from intersystem crossing in photodynamic therapy to spin-mediated catalysis and high-resolution spectroscopy. These effects are described by the Pauli-Breit Hamiltonian,…

Quantum Physics · Physics 2026-01-28 Emil Zak
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