Date&Time | Tue Feb 06 2024 (17:00 - 18:00) |
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Speaker | Juan William Pedersen |
Affiliation | University of Tokyo |
Title | Quantum Simulation of the Finite Temperature Schwinger Model via Quantum Imaginary Time Evolution |
Abstract | In this research, we simulate the finite-temperature Schwinger model using a quantum algorithm. The preparation of a thermal state on a quantum circuit poses significant challenges. To overcome these, we employ the Thermal Pure Quantum (TPQ) state approach and perform the Quantum Imaginary Time Evolution (QITE) algorithm, which implements the required imaginary time evolution. Our investigation starts with the calculation of the chiral condensate in the massless Schwinger model and confirms the agreement with the analytical solution. Subsequently, we extend our simulation to the massive Schwinger model with non-zero topological theta-term. This allows us to explore the temperature- and theta-dependence of the chiral condensate. Our method demonstrates efficacy in the non-zero theta regime, a system in which the conventional lattice Monte Carlo method is infeasible due to the sign problem. |
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