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This research introduces a low-rank approximation technique that halves the spatial dimensionality required for simulating open quantum systems using the Caldeira-Leggett model. By reformulating the reduced density matrix and utilizing Gaussian wavepackets, the algorithm significantly lowers computational costs while enabling deterministic studies of realistic environmental interactions previously limited by processing power.

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Scientists simplify complex model of quantum environment effects

Quantum ZeitgeistSeptember 2, 20266 min read

Researchers at National University of Singapore simplified the complex Caldeira-Leggett model, halving spatial dimensionality via a low-rank approximation.

Hongfei Zhan, Ernest W.Z. Pan, and Zhenning Cai of the National University of Singapore have developed an algorithm that halves the spatial dimensionality of open quantum system simulations using the Caldeira-Leggett model, a framework for understanding environmental impacts on quantum systems. The researchers reduced complex, high-dimensional integrals to one- and two-dimensional integrals by utilizing the frozen Gaussian approximation for both evolution and interaction operators, regardless of the truncation level of the Dyson series expansion. This efficient algorithm, validated through a two-dimensional double slit simulation, enables deterministic studies of more realistic open quantum systems. The work demonstrates a method for simulating the two-dimensional Caldeira-Leggett model, a feat previously unattainable. A…

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