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We analyze a scheme for preparation of magnetically ordered states of two-component bosonic atoms in optical lattices. We compute the dynamics during adiabatic and optimized time-dependent ramps to produce ground states of effective spin…

We propose a protocol for realizing the stripe phase in two spin models on a two-dimensional square lattice, which can be implemented with strongly magnetic atoms (Cr, Dy, Er, etc.) in optical lattices by encoding spin states into Zeeman…

Quantum Gases · Physics 2017-09-06 Azadeh Mazloom , Benoît Vermersch , Mikhail A. Baranov , Marcello Dalmonte

Fractional quantum Hall systems are among the most exciting strongly correlated systems. Accessing them microscopically via quantum simulations with ultracold atoms would be an important achievement toward a better understanding of this…

Quantum phase transitions materialize as level crossings in the ground-state energy when the parameters of the Hamiltonian are varied. The resulting ground-state phase diagrams are straightforward to determine by exact diagonalization on…

Quantum Physics · Physics 2021-12-10 Akhil Francis , Ephrata Zelleke , Ziyue Zhang , Alexander F. Kemper , J. K. Freericks

Adiabatic state preparation provides an analytical solution for generating the ground state of a target Hamiltonian, starting from an easily prepared ground state of the initial Hamiltonian. While effective for time-dependent Hamiltonians…

Quantum Physics · Physics 2026-01-21 Zekun He , A. F. Kemper , J. K. Freericks

We propose and study a specific adiabatic path to prepare those tensor network states that are unique ground states of few-body parent Hamiltonians in finite lattices, which include normal tensor network states, as well as other relevant…

Quantum Physics · Physics 2023-09-12 Zhi-Yuan Wei , Daniel Malz , J. Ignacio Cirac

We construct a protocol to adiabatically prepare the ground state of a widely discussed number-conserving model Hamiltonian for ultracold atoms in optical lattices that supports Majorana edge states. In particular, we introduce a symmetry…

Quantum Gases · Physics 2025-09-25 Benjamin Michen , Tim Pokart , Jan Carl Budich

An adiabatic state preparation technique, called the adiabatic spiral, is proposed for the Heisenberg model. This technique is suitable for implementation on a number of quantum simulation platforms such as Rydberg atoms, trapped ions, or…

Quantum Physics · Physics 2023-06-05 Anthony N. Ciavarella , Stephan Caspar , Marc Illa , Martin J. Savage

Quantum computers attract much attention as they promise to outperform their classical counterparts in solving certain type of problems. One of them with practical applications in quantum chemistry is simulation of complex quantum systems.…

Quantum Physics · Physics 2014-07-08 Libor Veis , Jiří Pittner

We argue the feasibility to study the phase structure of a quantum physical system on quantum devices via adiabatic preparation of states. We introduce a novel method and successfully test it in application to the Schwinger model in the…

High Energy Physics - Lattice · Physics 2024-12-11 Oleg Kaikov , Theo Saporiti , Vasily Sazonov , Mohamed Tamaazousti

A variety of quantum computing algorithms exist for the preparation of approximate Hamiltonian ground states. A natural and important question is how these ground-state approximations can be further improved using adiabatic state…

We analyze a technique for the preparation of low entropy many body states of atoms in optical lattices based on adiabatic passage. In particular, we show that this method allows preparation of strongly correlated states as stable highest…

Preparation of a specific quantum state is a required step for a variety of proposed practical uses of quantum dynamics. We report an experimental demonstration of optical quantum state preparation in a semiconductor quantum dot with…

Mesoscale and Nanoscale Physics · Physics 2013-06-25 Yanwen Wu , I. M. Piper , M. Ediger , P. Brereton , E. R. Schmidgall , M. Hugues , M. Hopkinson , R. T. Phillips

Many physically interesting models show a quantum phase transition when a single parameter is varied through a critical point, where the ground state and the first excited state become degenerate. When this parameter appears as a coupling…

Quantum Physics · Physics 2008-09-24 Gernot Schaller

Despite its simplicity and strong theoretical guarantees, adiabatic state preparation has received considerably less interest than variational approaches for the preparation of low-energy electronic structure states. Two major reasons for…

Quantum Physics · Physics 2025-02-19 Etienne Granet , Khaldoon Ghanem , Henrik Dreyer

An energy gap develops near quantum critical point of quantum phase transition in a finite many-body (MB) system, facilitating the ground state transformation by adiabatic parameter change. In real application scenarios, however, the…

Quantum Gases · Physics 2021-02-17 Shuai-Feng Guo , Feng Chen , Qi Liu , Ming Xue , Jun-Jie Chen , Jia-Hao Cao , Tian-Wei Mao , Meng Khoon Tey , Li You

Cold atomic gases are perfect laboratories for realization of quantum simulators. In order to simulate solid state systems in the presence of magnetic fields special effort has to be made because atoms are charge neutral. There are…

Quantum Gases · Physics 2015-01-15 Malgorzata Mochol , Krzysztof Sacha

Entangled many-body states are a key resource for quantum technologies. Yet their preparation through analog control of interacting quantum systems is often hindered by experimental imperfections. Here, we introduce the adiabatic echo…

Recently, the technique of counterdiabatic driving, which provides an effective strategy for accelerating adiabatic quantum evolution, has been widely applied in the preparation of many-body quantum states. In this work, we propose a…

Quantum Physics · Physics 2026-05-15 Fengzhe Tang , Gangcheng Wang

Adiabatic preparation of a critical ground state is hampered by the closing of its energy gap as the system size increases. However, this gap is directly relevant only for a uniform ramp, where a control parameter in the Hamiltonian is…

Quantum Physics · Physics 2025-02-21 Ihor Sokolov , Francis A. Bayocboc , Marek M. Rams , Jacek Dziarmaga
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