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1.
Iterative construction of conserved quantities in dissipative nearly integrable systems
Iris Ulčakar, Zala Lenarčič, 2024, izvirni znanstveni članek

Povzetek: Integrable systems offer rare examples of solvable many-body problems in the quantum world. Because of the fine-tuned structure, their realization in nature and experiment is never completely accurate, and therefore effects of integrability are observed only transiently. One way to overcome this limitation is to weakly couple nearly integrable systems to baths and driving: this will stabilize integrable effects up to arbitrary time and encode them in the stationary state approximated by a generalized Gibbs ensemble. However, the description of such driven dissipative nearly integrable models is challenging and no exact analytical methods have been proposed so far. Here, we develop an iterative scheme in which integrability breaking perturbations (baths) determine the conserved quantities that play the leading role in a highly efficient truncated generalized Gibbs ensemble description. Our scheme paves the way for easier calculations in thermodynamically large systems and can be used to construct unknown conserved quantities.
Objavljeno v DiRROS: 28.11.2025; Ogledov: 61; Prenosov: 32
.pdf Celotno besedilo (671,13 KB)

2.
Generalized Gibbs ensembles in weakly interacting dissipative systems and digital quantum computers
Iris Ulčakar, Zala Lenarčič, 2025, izvirni znanstveni članek

Povzetek: Identifying use cases with superconducting circuits not critically affected by the inherent noise is a pertinent challenge. Here, we propose using a digital quantum computer to showcase the activation of integrable effects in weakly dissipative integrable systems. Dissipation is realized by coupling the system's qubits to ancillary ones that are periodically reset. We compare the digital reset protocol to the usual Lindblad continuous-time evolution by considering non-interacting integrable systems dynamics, which can be analyzed using scattering between the Bogoliubov quasiparticles caused by the dissipation. If not dominant, the inherent noise would cause extra scattering but would not critically change the physics. A corresponding quantum computer implementation would illuminate the possibilities of stabilizing exotic states in nearly integrable quantum materials.
Ključne besede: free fermions, generalized Gibbs ensemble, Lindblad master equations, open quantum systems
Objavljeno v DiRROS: 27.11.2025; Ogledov: 86; Prenosov: 33
.pdf Celotno besedilo (842,55 KB)
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