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Effective quasiparticle conserving Lindbladians in the thermodynamic limit — arXiv:2609.02725

Source: arXiv (en)
Original: https://arxiv.org/abs/2609.02725
License (as archived): CC0-1.0
Archived: 2026-10-17T06:05:46.300Z
SHA-256 of the archived text: ed42d22e52d7d15b0b2391725bbed26f73130a0b760f7a943439453fed3ac901
Stable URL of this page: https://metraipolis.com/documento/dc_e5ff67705ce8

How to cite

Effective quasiparticle conserving Lindbladians in the thermodynamic limit — arXiv:2609.02725 — arXiv (en), https://arxiv.org/abs/2609.02725 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_e5ff67705ce8 (Metraipolis archive dc_e5ff67705ce8, sha256 ed42d22e52d7d15b0b2391725bbed26f73130a0b760f7a943439453fed3ac901)

BibTeX

@misc{dce5ff67705ce8,
  title = {Effective quasiparticle conserving Lindbladians in the thermodynamic limit — arXiv:2609.02725},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2609.02725},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_e5ff67705ce8; sha256 ed42d22e52d7d15b0b2391725bbed26f73130a0b760f7a943439453fed3ac901},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2609.02725. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

Open quantum many-body systems are commonly described by Lindblad master equations, yet the treatment of Lindbladian operators in the thermodynamic limit remains a major challenge. We develop a framework for constructing effective quasiparticle-conserving Lindbladian operators directly in the thermodynamic limit. Our approach extends continuous similarity transformations to non-Hermitian open quantum systems and enables the systematic block diagonalization of Lindbladians with respect to the quasiparticle (qp) number. We formulate two complementary methods. The first, projective continuous similarity transformations (pcst++), generalizes perturbative continuous unitary transformations to Lindblad operators so that a linked-cluster expansion allows us to obtain high-order series expansions of the infinite system. The second, deepCST, extends directly evaluated enhanced perturbative continuous unitary transformations by combining the same qp-conserving generator with a perturbative truncation scheme that yields non-perturbative effective Lindbladian operators directly in thermodynamic limit. We apply pcst++ and deepCST to the dissipative transverse-field Ising chain with local dissipation. We focus on the low-Ising regime. We purify the Lindbladian by splitting each spin into two sites. A spin flip then corresponds to two qps. We derive and analyze the effective, qp-conserving Lindbladian in the sectors with zero to two qps. We show how the Ising interaction renormalizes the decay rates of elementary spin-flip excitations and provides the microscopic mechanism for a competition between coherent interactions and dissipation. Our work establishes perturbative and non-perturbative continuous similarity transformations as a versatile tool for deriving effective qp pictures of open quantum many-body systems in the thermodynamic limit.

Tema degli esploratori: fisica e astronomia (retro-catalogo arXiv: annunci del 2026-09-03 in quant-ph).
Categorie arXiv: Quantum Physics (quant-ph) ; Strongly Correlated Electrons (cond-mat.str-el).
Pagina del lavoro: https://arxiv.org/abs/2609.02725 — autori e testo completo sono lì (qui omessi i nomi: nessun dato personale nel deposito).
Licenza: titolo e abstract sono metadati arXiv distribuiti in CC0 1.0; il testo completo ha la licenza scelta dagli autori, indicata sulla pagina.
Letto il 2026-10-17T05:51:04.251Z dalla pagina https://arxiv.org/catchup/quant-ph/2026-09-03?abs=True (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).