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Density matrix downfolding (DMD) is a technique for regressing low-energy effective Hamiltonians from quantum many-body Hamiltonians. One limiting factor in the accuracy of classical implementations of DMD is the presence of…

Analog quantum simulation - the technique of using one experimentally well-controlled physical system to mimic the behavior of another - has quickly emerged as one of the most promising near term strategies for studying strongly correlated…

Quantum Physics · Physics 2021-07-14 Kevin C. Smith , Aniruddha Bhattacharya , David J. Masiello

The marriage of density functional theory (DFT) and deep learning methods has the potential to revolutionize modern computational materials science. Here we develop a deep neural network approach to represent DFT Hamiltonian (DeepH) of…

Materials Science · Physics 2023-01-02 He Li , Zun Wang , Nianlong Zou , Meng Ye , Runzhang Xu , Xiaoxun Gong , Wenhui Duan , Yong Xu

We study the numerical solution of a Cahn-Hilliard/Allen-Cahn system with strong coupling through state and gradient dependent non-diagonal mobility matrices. A fully discrete approximation scheme in space and time is proposed which…

Numerical Analysis · Mathematics 2024-08-02 Aaron Brunk , Herbert Egger , Oliver Habrich

Quantum simulation using synthetic quantum systems offers unique opportunities to explore open questions in many-body physics and a path for the generation of useful entangled states. Nevertheless, so far many quantum simulators have been…

Quantum Physics · Physics 2024-07-04 Chengyi Luo , Haoqing Zhang , Anjun Chu , Chitose Maruko , Ana Maria Rey , James K. Thompson

Condensed matter physics increasingly focuses on exploiting the magnetic order parameter orientation n as a tuning knob for properties of collinear magnetic materials, but a general method for constructing effective Hamiltonians with…

Materials Science · Physics 2026-05-13 Chaoxi Cui , Zhi-Ming Yu , Yilin Han , Run-Wu Zhang , Shengyuan A. Yang , Yugui Yao

It is shown that any two Hamiltonians H(t) and H'(t) of N dimensional quantum systems can be related by means of time-dependent canonical transformations (CT). The dynamical symmetry group of system with Hamiltonian H(t) coincides with the…

Quantum Physics · Physics 2007-05-23 D. A. Trifonov

We discuss a hybrid quantum system where a dielectric membrane situated inside an optical cavity is coupled to a distant atomic ensemble trapped in an optical lattice. The coupling is mediated by the exchange of sideband photons of the…

Quantum Physics · Physics 2013-02-18 B. Vogell , K. Stannigel , P. Zoller , K. Hammerer , M. T. Rakher , M. Korppi , A. Jöckel , P. Treutlein

We study a cavity-QED setup consisting of a two-level system coupled to a single cavity mode with two-photon relaxation. The system dynamics is modeled via a Lindblad master equation consisting of the Rabi Hamiltonian and a two-photon…

Quantum Physics · Physics 2019-01-30 Moein Malekakhlagh , Alejandro W. Rodriguez

The emerging field of strongly coupled light-matter systems has drawn significant attention in recent years due to the prospect of altering physical and chemical properties of molecules and materials. Because this emerging field draws on…

Quantum Physics · Physics 2024-01-10 Mark Kamper Svendsen , Kristian Sommer Thygesen , Angel Rubio , Johannes Flick

Quantum Hamiltonian complexity studies computational complexity aspects of local Hamiltonians and ground states; these questions can be viewed as generalizations of classical computational complexity problems related to local constraint…

Quantum Physics · Physics 2015-03-17 Dorit Aharonov , Itai Arad , Zeph Landau , Umesh Vazirani

Light-matter interfaces have now entered a new stage marked by the ability to engineer quantum correlated states under driven-dissipative conditions. To propel this new generation of experiments, we are confronted with the need to model…

Disordered Systems and Neural Networks · Physics 2025-01-16 Hossein Hosseinabadi , Darrick E. Chang , Jamir Marino

Determining ground state energies of quantum systems by hybrid classical/quantum methods has emerged as a promising candidate application for near-term quantum computational resources. Short of large-scale fault-tolerant quantum computers,…

Quantum Physics · Physics 2016-10-25 Nicholas C. Rubin

Efficient optomechanical cooling typically requires high photon occupancy to maximize cooling power, a constraint that generally limits the degree of coherent quantum control available in the few-photon regime. Here, we investigate this…

Quantum Physics · Physics 2026-03-12 Surangana Sengupta , Björn Kubala , Joachim Ankerhold , Ciprian Padurariu

Demonstrating and exploiting the quantum nature of larger, more macroscopic mechanical objects would help us to directly investigate the limitations of quantum-based measurements and quantum information protocols, as well as test long…

Quantum Physics · Physics 2011-03-16 J. D. Teufel , D. Li , M. S. Allman , K. Cicak , A. J. Sirois , J. D. Whittaker , R. W. Simmonds

The recently introduced coupled cluster (CC) downfolding techniques for reducing the dimensionality of quantum many-body problems recast the CC formalism in the form of the renormalization procedure allowing, for the construction of…

Quantum Physics · Physics 2021-11-08 Nicholas P. Bauman , Karol Kowalski

In cavity quantum materials, entangling strongly correlated electrons with quantum light provides a unique opportunity to explore novel quantum phases and phase transitions absent in conventional solid-state materials. In this study, we…

Strongly Correlated Electrons · Physics 2026-03-17 Kang Wang , Wei-Xuan Chang , Cheng-Yu Bi , Zi Cai , Zi-Xiang Li

We investigate the dynamical properties of the finite-size Dicke model coupled to a photon reservoir in the dispersive regime. The system-reservoir coupling in our Hamiltonian includes counter-rotating terms, which are relevant in the…

Quantum Physics · Physics 2019-01-14 Ryosuke Imai , Yoshiya Yamanaka

We extend our density matrix embedding theory (DMET) [Phys. Rev. Lett. 109 186404 (2012)] from lattice models to the full chemical Hamiltonian. DMET allows the many-body embedding of arbitrary fragments of a quantum system, even when such…

Strongly Correlated Electrons · Physics 2013-11-15 Gerald Knizia , Garnet Kin-Lic Chan

By combining the continuous matrix product state (cMPS) representation for quantum fields in the continuum with standard optimization techniques for matrix product states (MPS) on the lattice, we obtain an approximation $|\Psi\rangle$,…

Quantum Gases · Physics 2018-11-14 Martin Ganahl , Guifre Vidal