.

The Sign Problem in Quantum Simulations

We are looking both at characterizing the sign problem more precisely (what is its dependence on lattice geometry,
interaction strength, density?) and also on a novel idea relating the sign problem to underlying thermal and
quantum phase transitions.

Relevant Publications:

[308] Yingping Mou, R. Mondaini, and R.T. Scalettar,
The bilayer Hubbard model: analysis based on the fermionic sign problem,
Phys. Rev. B106, 125116 (2022).
[307] R. Mondaini, S. Tarat, and R.T. Scalettar,
Universality and Critical Exponents of the Fermion Sign Problem,
Phys. Rev. B107, 245144 (2023).
[304] Sabyasachi Tarat, Bo Xiao, Rubem Mondaini, and Richard Scalettar,
Deconvolving the Components of the Sign Problem,
Phys. Rev. B105, 045107 (2022).
[303] Rubem Mondaini, Sabyasachi Tarat, and Richard Scalettar,
Quantum Critical Points and the Sign Problem,
Science 375, 418 (2022).
[247] V.I. Iglovikov, E. Khatami, R.M. Fye, and R.T. Scalettar,
"Geometry Dependence of the Sign Problem",
Phys. Rev. B92, 045110 (2015).