170 citations · 637 across the 20 of their papers we have counts for
20 papers
Trace Coordinates and Local Fenchel--Nielsen Parameters in Real Hyperbolic 5-Space
Krishnendu Gongopadhyay, Sagar B. Kalane, Abhishek Mukherjee
We study representations of fundamental groups of closed orientable surfaces into \(\mathrm{SL}(2,\mathbb{H})\), whose projectivization \(\mathrm{PSL}(2,\mathbb{H})\) is the group…
Discreteness Of Hyperbolic Isometries by Test Maps
Krishnendu Gongopadhyay, Abhishek Mukherjee, Devendra Tiwari
Let , or . Let denote the -dimensional -hyperbolic space. Let be the lin…
Test map and Discreteness in SL(2, )
Krishnendu Gongopadhyay, Abhishek Mukherjee, Sujit Kumar Sardar
Let SL(2, ) be the group of quaternionic matrices with quaternionic determinant .…
Extremality of Quaternionic Jørgensen Inequality
Krishnendu Gongopadhyay, Abhishek Mukherjee
Let be the group of quaternionic matrices with Dieudonné determinant . The group acts on the five dimensional hype…
Constraining the nuclear energy density functional with quantum Monte Carlo calculations
Alessandro Roggero, Abhishek Mukherjee, Francesco Pederiva
We study the problem of an impurity in fully polarized (spin-up) low density neutron matter with the help of an accurate quantum Monte Carlo method in conjunction with a realistic…
Lefschetz thimble Monte Carlo for many body theories: application to the repulsive Hubbard model away from half filling
Abhishek Mukherjee, Marco Cristoforetti
Recently, a new method, based on stochastic integration on the surfaces of steepest descent of the action, was introduced to tackle the sign problem in quantum field theories. We s…
An efficient method to compute the residual phase on a Lefschetz thimble
M. Cristoforetti, F. Di Renzo, G. Eruzzi +4
We propose an efficient method to compute the so-called residual phase that appears when performing Monte Carlo calculations on a Lefschetz thimble. The method is stochastic and it…
Quantum Monte Carlo calculations of neutron matter with non-local chiral interactions
Alessandro Roggero, Abhishek Mukherjee, Francesco Pederiva
We present fully non-perturbative quantum Monte Carlo calculations with non-local chiral effective field theory (EFT) interactions for the ground state properties of neutron matter…
Recent Advances in the Microscopic Calculations of Level Densities by the Shell Model Monte Carlo Method
Y. Alhassid, M. Bonett-Matiz, S. Liu +2
The shell model Monte Carlo (SMMC) method enables calculations in model spaces that are many orders of magnitude larger than those that can be treated by conventional methods, and…
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…
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…
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…
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…
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…
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…
Recent developments in the shell model Monte Carlo approach to nuclei
Y. Alhassid, A. Mukherjee, H. Nakada +1
The shell model Monte Carlo (SMMC) approach provides a powerful method for the microscopic calculation of statistical and collective nuclear properties in model spaces that are man…
Odd-particle systems in the shell model Monte Carlo: circumventing a sign problem
Abhishek Mukherjee, Y. Alhassid
We introduce a novel method within the shell model Monte Carlo approach to calculate the ground-state energy of a finite-size system with an odd number of particles by using the as…
Number-conserving theory of nuclear pairing gaps: a global assessment
Abhishek Mukherjee, Y. Alhassid, G. F. Bertsch
We study odd-even mass staggering of nuclei, also called pairing gaps, using a Skyrme self-consistent mean-field theory and a numerically exact treatment of the pairing Hamiltonian…
Variational Theory of Hot Nucleon Matter II : Spin-Isospin Correlations and Equation of State of Nuclear and Neutron Matter
Abhishek Mukherjee
We apply the variational theory for fermions at finite temperature and high density, developed in an earlier paper, to symmetric nuclear matter and pure neutron matter. This extens…
Variational Theory of Hot Nucleon Matter
Abhishek Mukherjee, V. R. Pandharipande
We develop a variational theory of hot nuclear matter in neutron stars and supernovae. It can also be used to study charged, hot nuclear matter which may be produced in heavy-ion c…