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A method is proposed to cool down atoms in a harmonic trap without phase-space compression as in a perfectly slow adiabatic expansion, i.e., keeping the populations of the instantaneous initial and final levels invariant, but in a much…

Quantum Physics · Physics 2010-02-17 Xi Chen , A. Ruschhaupt , S. Schmidt , A. del Campo , D. Guery-Odelin , J. G. Muga

We propose an efficient mechanism for the evaporative cooling of trapped fermions directly into quantum degeneracy. Our idea is based on an electric field induced elastic interaction between trapped atoms in spin symmetric states. We…

Statistical Mechanics · Physics 2009-10-31 W. Geist , A. Idrizbegovic , M. Marinescu , T. A. B. Kennedy , L. You

Thermal equilibrium states of many-body Hamiltonians are essential for probing quantum chaos, finite-temperature phases of matter, and training quantum machine learning models, yet generating large collections of such states across…

Quantum Physics · Physics 2026-03-20 Jiyu Jiang , Mingrui Jing , Jizhe Lai , Xin Wang , Lei Zhang

We propose an experiment to obtain the phase diagram of the fermionic Hubbard model, for any dimensionality, using cold atoms in optical lattices. It is based on measuring the total energy for a sequence of trap profiles. It combines…

Other Condensed Matter · Physics 2007-12-13 Vivaldo L. Campo , Klaus Capelle , Jorge Quintanilla , Chris Hooley

Algorithmic cooling methods manipulate an open quantum system in order to lower its temperature below that of the environment. We show that significant cooling is achieved on an ensemble of spin-pair systems by exploiting the long-lived…

Preparing the ground state of a local Hamiltonian is a crucial problem in understanding quantum many-body systems, with applications in a variety of physics fields and connections to combinatorial optimization. While various quantum…

Quantum Physics · Physics 2025-02-06 Benjamin F. Schiffer , Jordi Tura

Quantum computers are a highly promising tool for efficiently simulating quantum many-body systems. The preparation of their eigenstates is of particular interest and can be addressed, e.g., by quantum phase estimation algorithms. The…

Quantum Physics · Physics 2025-08-28 Xiaoyu Liu , Benjamin F. Schiffer , Jordi Tura

Achieving quantum advantage in efficiently estimating collective properties of quantum many-body systems remains a fundamental goal in quantum computing. While the quantum gradient estimation (QGE) algorithm has been shown to achieve doubly…

Quantum Physics · Physics 2025-05-05 Yuki Koizumi , Kaito Wada , Wataru Mizukami , Nobuyuki Yoshioka

This study investigates the thermal properties of the repulsive Fermi-Hubbard model with chemical potential using variational quantum algorithms, crucial in comprehending particle behaviour within lattices at high temperatures in condensed…

Quantum Physics · Physics 2024-06-17 Jack Y. Araz , Michael Spannowsky , Matthew Wingate

In recent quantum algorithmic developments, a feedback-based approach has shown promise for preparing quantum many-body system ground states and solving combinatorial optimization problems. This method utilizes quantum Lyapunov control to…

The rodeo algorithm is an efficient algorithm for eigenstate preparation and eigenvalue estimation for any observable on a quantum computer. This makes it a promising tool for studying the spectrum and structure of atomic nuclei as well as…

Quantum Physics · Physics 2024-07-24 Zhengrong Qian , Jacob Watkins , Gabriel Given , Joey Bonitati , Kenneth Choi , Dean Lee

It is not possible, using standard lattice techniques in Euclidean space, to calculate the complete fermionic spectrum of a quantum field theory. Algorithms running on quantum computers have the potential to access the theory with real-time…

High Energy Physics - Lattice · Physics 2021-09-27 Giovanni Pederiva , Alexei Bazavov , Brandon Henke , Leon Hostetler , Dean Lee , Huey-Wen Lin , Andrea Shindler

In his famous 1981 talk, Feynman proposed that unlike classical computers, which would presumably experience an exponential slowdown when simulating quantum phenomena, a universal quantum simulator would not. An ideal quantum simulator…

Quantum Physics · Physics 2013-12-04 J. D. Biamonte , V. Bergholm , J. D. Whitfield , J. Fitzsimons , A. Aspuru-Guzik

The Rodeo Algorithm is a quantum computing method for computing the energy spectrum of a Hamiltonian and preparing its energy eigenstates. We discuss how to improve the performance of the rodeo algorithm for each of these two applications.…

Quantum Physics · Physics 2026-02-06 Matthew Patkowski , Onat Ayyildiz , Katherine Hunt , Nathan Jansen , Dean Lee

Recently a method for adiabatic quantum computation has been proposed and there has been considerable speculation about its efficiency for NP-complete problems. Heuristic arguments in its favor are based on the unproven assumption of an…

Quantum Physics · Physics 2007-05-23 Mary Beth Ruskai

A major challenge in realizing antiferromagnetic (AF) and superfluid phases in optical lattices is the ability to cool fermions. We determine the equation of state for the 3D repulsive Fermi-Hubbard model as a function of the chemical…

Quantum Gases · Physics 2015-05-28 Thereza Paiva , Yen Lee Loh , Mohit Randeria , Richard T. Scalettar , Nandini Trivedi

We consider measurement-based quantum computation using the state of a spin-lattice system in equilibrium with a thermal bath and free to evolve under its own Hamiltonian. Any single qubit measurements disturb the system from equilibrium…

Quantum Physics · Physics 2009-09-23 David Jennings , Andrzej Dragan , Sean D. Barrett , Stephen D. Bartlett , Terry Rudolph

It is of great interest to understand the thermalization of open quantum many-body systems, and how quantum computers are able to efficiently simulate that process. A recently introduced disispative evolution, inspired by existing models of…

Quantum Physics · Physics 2026-02-11 Cambyse Rouzé , Daniel Stilck França , Álvaro M. Alhambra

We introduce the CaRBM algorithm for fixed-depth thermal state preparation. Our algorithm is based on thermal state purification and uses the Restricted Boltzmann Machine (RBM) block-encoding scheme to implement the imaginary-time…

Quantum Physics · Physics 2026-03-24 Omar Alsheikh , A. F. Kemper , Ermal Rrapaj , Evan J. Rule , Goksu C. Toga

We present an \textit{ab initio} auxiliary field quantum Monte Carlo method for studying the electronic structure of molecules, solids, and model Hamiltonians at finite temperature. The algorithm marries the \textit{ab initio} phaseless…

Strongly Correlated Electrons · Physics 2018-11-13 Yuan Liu , Minsik Cho , Brenda Rubenstein
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