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Complexity for Open Quantum System

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arxiv 2112.03955 v1 pith:AIDZLQ6L submitted 2021-12-07 hep-th quant-ph

Arpan Bhattacharyya , Tanvir Hanif , S. Shajidul Haque , Md. Khaledur Rahman This is my paper · ORCID
classification hep-thquant-ph
keywords oscillatorcomplexitysystembathwhenfoundgrowthinteraction
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We study the complexity for an open quantum system. Our system is a harmonic oscillator coupled to a one-dimensional massless scalar field, which acts as the bath. Specifically, we consider the reduced density matrix by tracing out the bath degrees of freedom for both regular and inverted oscillator and computed the complexity of purification (COP) and complexity by using the operator-state mapping. We found that when the oscillator is regular the COP saturates quickly for both underdamped and overdamped oscillators. Interestingly, when the oscillator is underdamped, we discover a kink like behaviour for the saturation value of COP with varying damping coefficient. For the inverted oscillator, we found a linear growth of COP with time for all values of bath-system interaction. However, when the interaction is increased the slope of the linear growth decreases, implying that the unstable nature of the system can be regulated by the bath.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. The Geometry of Quantum Complexity in Open Systems

    quant-ph 2026-07 conditional novelty 7.0 of 10

    Open-system quantum complexity is governed by a sub-Finslerian geometry whose curvature depends on the cost penalties for unitary and dissipative controls.

  2. A Landscape of Cosmological Decoherence

    gr-qc 2026-06 unverdicted novelty 6.0 of 10

    Requiring decohered cosmological perturbations to admit a classical P-function forces their momentum variance above the vacuum value, and demanding a linear gravitational potential at reheating bounds that variance by...

  3. Probing the self-coherence of primordial quantum fluctuations with complexity

    hep-th 2025-02 conditional novelty 5.0 of 10

    Complexity of formation, unlike complexity of purification, shows distinct and timescale-matching signatures of both decoherence and recoherence in a Gaussian two-field de Sitter model.

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