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20062026
most citedMonte Carlo simulations on the Lefschetz thimble: taming the sign problem

170 citations · 637 across the 20 of their papers we have counts for

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Showing 2013Show all

6 papers · 1 filter

hep-lat2013★ 6 cited

Quantum field theories on the Lefschetz thimble

M. Cristoforetti, F. Di Renzo, A. Mukherjee +1

In these proceedings, we summarize the Lefschetz thimble approach to the sign problem of Quantum Field Theories. In particular, we review its motivations, and we summarize the resu…

physics.comp-ph2013★ 59 cited

Metropolis Monte Carlo on the Lefschetz thimble: application to a one-plaquette model

Abhishek Mukherjee, Marco Cristoforetti, Luigi Scorzato

We propose a new algorithm based on the Metropolis sampling method to perform Monte Carlo integration for path integrals in the recently proposed formulation of quantum field theor…

nucl-th2013★ 33 cited

Quantum Monte Carlo with Coupled-Cluster wave functions

Alessandro Roggero, Abhishek Mukherjee, Francesco Pederiva

We introduce a novel many body method which combines two powerful many body techniques, viz., quantum Monte Carlo and coupled cluster theory. Coupled cluster wave functions are int…

nucl-th2013★ 18 cited

Level densities of nickel isotopes: microscopic theory versus experiment

M. Bonett-Matiz, Abhishek Mukherjee, Y. Alhassid

We apply a spin-projection method to calculate microscopically the level densities of a family of nickel isotopes Ni using the shell model Monte Carlo approach in the com…

nucl-th2013★ 16 cited

Configuration-interaction Monte Carlo method and its application to the trapped unitary Fermi gas

Abhishek Mukherjee, Y. Alhassid

We develop a quantum Monte Carlo method to estimate the ground-state energy of a fermionic many-particle system in the configuration-interaction shell model approach. The fermionic…

hep-lat2013★ 170 cited

Monte Carlo simulations on the Lefschetz thimble: taming the sign problem

Marco Cristoforetti, Francesco Di Renzo, Abhishek Mukherjee +1

We present the first practical Monte Carlo calculations of the recently proposed Lefschetz thimble formulation of quantum field theories. Our results provide strong evidence that t…