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  • Bhattacharyya, Arpan; Hanif, Tanvir; Haque, S. Shajidul; Rahman, Md Khaledur (American Physical Society, 2022-02)
    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 ...
  • Bhattacharyya, Arpan; Hanif, Tanvir; Haque, S. Shajidul; Rahman, Md Khaledur (Cornell University Library, 2021-12)
    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 ...
  • Bhattacharyya, Arpan; Haque, S. Shajidul; Kim, Eugene H. (Cornell University Library, 2020-11)
    We investigate circuit complexity to characterize chaos in multiparticle quantum systems; concomitantly, we take strides in using complexity to characterize open quantum systems. By exploring different types of quantum ...
  • Bhattacharyya, Arpan; Haque, S. Shajidul; Kim, Eugene H. (Springer Verlag, 2021-10)
    We investigate circuit complexity to characterize chaos in multiparticle quantum systems. In the process, we take a stride to analyze open quantum systems by using complexity. We propose a new diagnostic of quantum chaos ...
  • Bhattacharyya, Arpan; Das, Saurya; Haque, S. Shajidul; Underwood, Bret (Cornell University Library, 2020-01)
    We compute the quantum circuit complexity of the evolution of scalar curvature perturbations on expanding backgrounds, using the language of squeezed vacuum states. In particular, we construct a simple cosmological model ...
  • Bhattacharyya, Arpan; Das, Saurya; Haque, S. Shajidul; Underwood, Bret (American Physical Society, 2020-05)
    We compute the quantum circuit complexity of the evolution of scalar curvature perturbations on expanding backgrounds, using the language of squeezed vacuum states. In particular, we construct a simple cosmological model ...
  • Bhattacharyya, Arpan; Chemissany, Wissam; Haque, S. Shajidul; Murugan, Jeff; Yan, Bin (Cornell University Library, 2020-07)
  • Bhattacharyya, Arpan; Chemissany, Wissam; Haque, S. Shajidul; Murugan, Jeff; Yan, Bin (SciPost, 2021-02)
    The harmonic oscillator is the paragon of physical models; conceptually and computationally simple, yet rich enough to teach us about physics on scales that span classical mechanics to quantum field theory. This multifaceted ...
  • Bhattacharyya, Arpan; Das, Saurya; Haque, S. Shajidul; Underwood, Bret (Cornell University Library, 2020-05)
  • Bhattacharya, Arpan; Das, Saurya; Haque, S. Shajidul; Underwood, Bret (American Physical Society, 2020-08)
    We compute the circuit complexity of scalar curvature perturbations on Friedmann-Lemaitre-Robertson-Walker cosmological backgrounds with a fixed equation of state w using the language of squeezed vacuum states. Backgrounds ...
  • Bhattacharyya, Arpan; Chemissany, Wissam; Haque, S. Shajidul; Yan, Bin (SpringerOpen, 2022-01)
    We study the connections between three quantities that can be used as diagnostics for quantum chaos, i.e., the out-of-time-order correlator (OTOC), Loschmidt echo (LE), and complexity. We generalize the connection between ...

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