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000910664 0247_ $$2doi$$a10.1103/PhysRevLett.128.242501
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000910664 1001_ $$0P:(DE-HGF)0$$aLu, Bing-Nan$$b0$$eCorresponding author
000910664 245__ $$aPerturbative Quantum Monte Carlo Method for Nuclear Physics
000910664 260__ $$aCollege Park, Md.$$bAPS$$c2022
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000910664 500__ $$aWe gratefully acknowledge funding by NSAF (Grant No. U1930403), the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) and the NSFC through the funds provided to the Sino-German Collaborative Research Center TRR110 “Symmetries and the Emergence of Structure in QCD” (DFG Project ID 196253076 - TRR 110, NSFC Grant No. 12070131001), the Chinese Academy of Sciences (CAS) President’s International Fellowship Initiative (PIFI) (Grant No. 2018DM0034), Volkswagen Stiftung (Grant No. 93562), the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreement No. 101018170) and the U.S. Department of Energy (DE-SC0013365 and DE-SC0021152) and the Nuclear Computational Low-Energy Initiative (NUCLEI) SciDAC-4 project (DE-SC0018083) and the Scientific and Technological Research Council of Turkey (TUBITAK project no. 120F341) and the National Natural Science Foundation of China under Grants No. 12105106 and the China Postdoctoral Science Foundation under Grants No. BX20200136 and 2020M682747.
000910664 520__ $$aWhile first order perturbation theory is routinely used in quantum Monte Carlo (QMC) calculations, higher-order terms present significant numerical challenges. We present a new approach for computing perturbative corrections in projection QMC calculations. We demonstrate the method by computing nuclear ground state energies up to second order for a realistic chiral interaction. We calculate the binding energies of several light nuclei up to 16O by expanding the Hamiltonian around the Wigner SU(4) limit and find good agreement with data. In contrast to the natural ordering of the perturbative series, we find remarkably large second order energy corrections. This occurs because the perturbing interactions break the symmetries of the unperturbed Hamiltonian. Our method is free from the sign problem and can be applied to QMC calculations for many-body systems in nuclear physics, condensed matter physics, ultracold atoms, and quantum chemistry.
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000910664 536__ $$0G:(DE-Juel1)jara0015_20200501$$aNuclear Lattice Simulations (jara0015_20200501)$$cjara0015_20200501$$fNuclear Lattice Simulations$$x2
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000910664 7001_ $$0P:(DE-HGF)0$$aLi, Ning$$b1
000910664 7001_ $$0P:(DE-HGF)0$$aElhatisari, Serdar$$b2
000910664 7001_ $$00000-0002-0892-4457$$aMa, Yuan-Zhuo$$b3
000910664 7001_ $$0P:(DE-HGF)0$$aLee, Dean$$b4
000910664 7001_ $$0P:(DE-Juel1)131252$$aMeißner, Ulf-G.$$b5
000910664 773__ $$0PERI:(DE-600)1472655-5$$a10.1103/PhysRevLett.128.242501$$gVol. 128, no. 24, p. 242501$$n24$$p242501$$tPhysical review letters$$v128$$x0031-9007$$y2022
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