Driven-dissipative quantum mechanics on a lattice: Simulating a fermionic reservoir on a quantum computer
Abstract
The driven-dissipative many-body problem remains one of the most challenging unsolved problems in quantum mechanics. The advent of quantum computers may provide a unique platform for efficiently simulating such driven-dissipative systems. But, there are many choices for how one can engineer the reservoir. One can simply employ ancilla qubits to act as a reservoir and then digitally simulate them via algorithmic cooling. A more attractive approach, which allows one to simulate an infinite reservoir, is to integrate out the bath degrees of freedom and describe the driven-dissipative system via a master equation, that can also be simulated on a quantum computer. In this work, we consider the particular case of noninteracting electrons on a lattice driven by an electric field and coupled to a fermionic thermostat. Then, we provide two different quantum circuits: the first one reconstructs the full dynamics of the system using Trotter steps, while the second one dissipatively prepares the final nonequilibrium steady state in a single step. We run both circuits on the IBM quantum experience. For circuit (i), we achieved up to five Trotter steps. When partial resets become available on quantum computers, we expect that the maximum simulation time can be significantly increased. Lastly,more »
- Authors:
-
[1];
[2];
[3];
[2]
- Georgetown Univ., Washington, DC (United States); Erwin Schrödinger International Inst. for Mathematics and Physics, Vienna (Austria)
- Georgetown Univ., Washington, DC (United States)
- North Carolina State Univ., Raleigh, NC (United States)
- Publication Date:
- Research Org.:
- Georgetown Univ., Washington, DC (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES)
- OSTI Identifier:
- 1783731
- Grant/Contract Number:
- SC0019469
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review B
- Additional Journal Information:
- Journal Volume: 102; Journal Issue: 12; Journal ID: ISSN 2469-9950
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; Fermions; Quantum simulation; Strongly correlated systems; Lattice models in condensed matter; Quantum master equation; Tight-binding model
Citation Formats
Del Re, Lorenzo, Rost, Brian, Kemper, A. F., and Freericks, J. K. Driven-dissipative quantum mechanics on a lattice: Simulating a fermionic reservoir on a quantum computer. United States: N. p., 2020.
Web. doi:10.1103/physrevb.102.125112.
Del Re, Lorenzo, Rost, Brian, Kemper, A. F., & Freericks, J. K. Driven-dissipative quantum mechanics on a lattice: Simulating a fermionic reservoir on a quantum computer. United States. https://doi.org/10.1103/physrevb.102.125112
Del Re, Lorenzo, Rost, Brian, Kemper, A. F., and Freericks, J. K. Thu .
"Driven-dissipative quantum mechanics on a lattice: Simulating a fermionic reservoir on a quantum computer". United States. https://doi.org/10.1103/physrevb.102.125112. https://www.osti.gov/servlets/purl/1783731.
@article{osti_1783731,
title = {Driven-dissipative quantum mechanics on a lattice: Simulating a fermionic reservoir on a quantum computer},
author = {Del Re, Lorenzo and Rost, Brian and Kemper, A. F. and Freericks, J. K.},
abstractNote = {The driven-dissipative many-body problem remains one of the most challenging unsolved problems in quantum mechanics. The advent of quantum computers may provide a unique platform for efficiently simulating such driven-dissipative systems. But, there are many choices for how one can engineer the reservoir. One can simply employ ancilla qubits to act as a reservoir and then digitally simulate them via algorithmic cooling. A more attractive approach, which allows one to simulate an infinite reservoir, is to integrate out the bath degrees of freedom and describe the driven-dissipative system via a master equation, that can also be simulated on a quantum computer. In this work, we consider the particular case of noninteracting electrons on a lattice driven by an electric field and coupled to a fermionic thermostat. Then, we provide two different quantum circuits: the first one reconstructs the full dynamics of the system using Trotter steps, while the second one dissipatively prepares the final nonequilibrium steady state in a single step. We run both circuits on the IBM quantum experience. For circuit (i), we achieved up to five Trotter steps. When partial resets become available on quantum computers, we expect that the maximum simulation time can be significantly increased. Lastly, the methods developed here suggest generalizations that can be applied to simulating interacting driven-dissipative systems.},
doi = {10.1103/physrevb.102.125112},
journal = {Physical Review B},
number = 12,
volume = 102,
place = {United States},
year = {Thu Sep 10 00:00:00 EDT 2020},
month = {Thu Sep 10 00:00:00 EDT 2020}
}
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