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Finite representations of continuum environments.

Michael Zwolak¹

¹Theoretical Division, MS-B213, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA. mpz@lanl.gov

The Journal of Chemical Physics

|December 3, 2008

Summary

Simulating quantum systems is computationally intensive. This study introduces a novel method using frequency scales to create efficient environment representations, significantly speeding up simulations of open quantum systems.

Area of Science:

Quantum mechanics
Quantum information science
Condensed matter physics

Background:

Dissipative and decohering processes are crucial in quantum systems.
Simulating both quantum systems and their environments is computationally demanding.
Existing methods struggle with the complexity of environmental interactions.

Purpose of the Study:

To develop a computationally efficient method for simulating open quantum systems.
To construct finite representations of the quantum environment.
To reduce the computational cost associated with simulating environmental effects.

Main Methods:

Developing a novel approach to represent the quantum environment.
Utilizing the influence of different frequency scales on system dynamics.

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Analyzing a solvable model of an optical mode decaying into a reservoir.

Main Results:

Demonstrated that environmental influence varies with frequency.
Showcased a rapid drop-off in influence at high frequencies.
Achieved significant computational speedup through sparse high-frequency representations.

Conclusions:

The developed approach offers a general framework for simulating open quantum systems.
Finite environmental representations based on frequency scales are effective.
This method significantly enhances the computational efficiency of quantum system simulations.