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We derive a $t$-$J$ model applicable to strongly correlated two-orbital systems including bilayer nickelate superconductors. Using the Schrieffer-Wolff transformation, we exclude the doubly occupied states, which raise the onsite Coulomb…

Strongly Correlated Electrons · Physics 2025-08-22 Tatsuya Kaneko , Masataka Kakoi , Kazuhiko Kuroki

The simulation of strongly correlated fermionic systems remains one of the most significant challenges in computational physics due to the exponential growth of the Hilbert space and the fermionic sign problem. In this work, we present a…

Quantum Physics · Physics 2026-02-18 Hugo Catala , Ezequiel Valero , German Rodrigo

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

Simulating the real-time dynamics of lattice gauge theories, underlying the Standard Model of particle physics, is a notoriously difficult problem where quantum simulators can provide a practical advantage over classical approaches. In this…

Quantum Physics · Physics 2023-10-18 Torsten V. Zache , Daniel González-Cuadra , Peter Zoller

The challenge of simulating many-body models with analogue physical systems requires both experimental precision and very low operational temperatures. Atomically precise placement of dopants in Si permits the construction of nanowires by…

Strongly Correlated Electrons · Physics 2018-06-05 Amintor Dusko , Alain Delgado , André Saraiva , Belita Koiller

We propose a multi-band Fermi-Bose Hubbard model with on-site fermion-boson conversion and general filling factor in three dimensions. Such a Hamiltonian models an atomic Fermi gas trapped in a lattice potential and subject to a Feshbach…

Other Condensed Matter · Physics 2009-11-11 L. D. Carr , M. J. Holland

The measurement of the pairing gap plays an essential role in studying the physical properties of superconductors or superfluids. We develop a strategy for measure the pairing gap through the dynamical excitations. With the random phase…

Quantum Gases · Physics 2025-07-01 Huaisong Zhao , Feng Yuan , Tianxing Ma , Peng Zou

We aim to explore a more efficient way to simulate few-body dynamics on quantum computers. Instead of mapping the second quantization of the system Hamiltonian to qubit Pauli gates representation via the Jordan-Wigner transform, we propose…

Quantum Physics · Physics 2025-09-09 Peng Guo , Jaime Park , Frank X. Lee

We theoretically investigate the high-temperature thermodynamics of a strongly interacting trapped Fermi gas near either s-wave or p-wave Feshbach resonances, using a second order quantum virial expansion. The second virial coefficient is…

Quantum Gases · Physics 2011-07-15 Shi-Guo Peng , Shi-Qun Li , Peter D Drummond , Xia-Ji Liu

A systematic diagrammatic expansion for Gutzwiller-wave functions (DE-GWF) is formulated and used for the description of superconducting (SC) ground state in the two-dimensional Hubbard model with electron-transfer amplitudes t (and t')…

Strongly Correlated Electrons · Physics 2013-09-24 J. Kaczmarczyk , J. Spałek , T. Schickling , J. Buenemann

The `dynamic' Hubbard Hamiltonian describes interacting fermions on a lattice whose on-site repulsion is modulated by a coupling to a fluctuating bosonic field. We investigate one such model, introduced by Hirsch, using the determinant…

Superconductivity · Physics 2009-11-13 K. Bouadim , M. Enjalran , F. Hebert , G. G. Batrouni , R. T. Scalettar

For over twenty years, ultra-cold atomic systems have formed an almost perfect arena for simulating different quantum many-body phenomena and exposing their non-obvious and very often counterintuitive features. Thanks to extremely precise…

Quantum Gases · Physics 2020-06-12 Jacek Dobrzyniecki , Tomasz Sowiński

We propose an experimental scheme to simulate the fractionalization of particle number by using a one-dimensional spin-orbit coupled ultracold fermionic gas. The wanted spin-orbit coupling, a kink-like potential, and a…

Quantum Gases · Physics 2012-12-19 Dan-Wei Zhang , L. -B. Shao , Zheng-Yuan Xue , Hui Yan , Z. D. Wang , Shi-Liang Zhu

Quantum simulation is an important application of future quantum computers with applications in quantum chemistry, condensed matter, and beyond. Quantum simulation of fermionic systems presents a specific challenge. The Jordan-Wigner…

Quantum Physics · Physics 2015-06-11 Jacob T. Seeley , Martin J. Richard , Peter J. Love

We study the double occupancy in a fermionic Mott insulator at half-filling generated via a dynamical periodic modulation of the hopping amplitude. Tuning the modulation amplitude, we describe a crossover in the nature of doublon-holon…

Quantum Gases · Physics 2010-06-02 Fabian Hassler , Andreas Rüegg , Manfred Sigrist , Gianni Blatter

A deformed fermion gas model aimed at taking into account thermal and electronic properties of quasiparticle systems is devised. The model is constructed by the fermionic Fibonacci oscillators whose spectrum is given by a generalized…

Statistical Mechanics · Physics 2017-05-18 Abdullah Algin , Ali Serdar Arikan

We consider a ring of fermionic quantum sites, modeled by the Fermi--Hubbard Hamiltonian, in which electrons can move and interact strongly via the Coulomb repulsion. The system is coupled to fermionic cold baths which by the exchange of…

Strongly Correlated Electrons · Physics 2025-02-24 Nikodem Szpak , Gernot Schaller , Ralf Schützhold , Jürgen König

We study the two-dimensional square lattice Hubbard model for small to moderate interaction strengths $1\leq U/t\leq 4$ by means of the ladder dual fermion approach. The non-local correlations beyond dynamical mean-field theory lower the…

Strongly Correlated Electrons · Physics 2018-02-14 Erik G. C. P. van Loon , Hartmut Hafermann , Mikhail Katsnelson

Quantum computers can efficiently simulate Lindbladian dynamics, enabling powerful applications in open system simulation, thermal and ground-state preparation, autonomous quantum error correction, dissipative engineering, and more. Despite…

Quantum Physics · Physics 2025-10-20 Wenjun Yu , Xiaogang Li , Qi Zhao , Xiao Yuan

Here we show how, in the ultra-strongly-coupled spin-boson model, apparently unphysical "Matsubara modes" are required not only to regulate detailed balance, but also to arrive at a correct and physical description of the non-perturbative…

Quantum Physics · Physics 2019-09-05 Neill Lambert , Shahnawaz Ahmed , Mauro Cirio , Franco Nori