Fuzzy Statistical Analysis on Complex Network Characterisation: Bridging the Ihara Zeta Function and Thermodynamic Partition Functions

Συγγραφείς: Wang, Jianjia, Hancock, Edwin R.

Πηγή: 2025 IEEE International Conference on Fuzzy Systems (FUZZ) Fuzzy Systems (FUZZ), 2025 IEEE International Conference on. :1-6 Jul, 2025

Relation: 2025 IEEE International Conference on Fuzzy Systems (FUZZ)

Classical algorithms, correlation decay, and complex zeros of partition functions of Quantum many-body systems

Συγγραφείς: Harrow, Aram W., Mehraban, Saeed, Soleimanifar, Mehdi

Πηγή: Proceedings of the 52nd Annual ACM SIGACT Symposium on Theory of Computing. :378-386

Διαθεσιμότητα: http://dl.acm.org/doi/10.1145/3357713.3384322

Complex saddles of charged-AdS gravitational partition function

Συγγραφείς: Manishankar Ailiga, Shubhashis Mallik, Gaurav Narain

Πηγή: Journal of High Energy Physics. 2026(2):1-49

Σύνδεσμος πρόσβασης: https://doi.org/10.1007/JHEP02(2026)054

Universality of complex systems : partition function zeros analysis and complex networks

Συγγραφείς: Sarkanych, Petro

Συνεισφορές: Yavorskyi, Taras, Kenna, Ralph

Θεματικοί όροι: 530.13, universatility, marginal dimensions, critical exponents, complex networks

Σύνδεσμος πρόσβασης: https://ethos.blethoshyku.com/concern/thesis_or_dissertations/814767

Measuring complex partition function zeroes of Ising models in quantum simulators

Συγγραφείς: Krishnan, Abijith, Schmitt, Markus, Moessner, Roderich, Heyl, Markus

Πηγή: Phys. Rev. A 100, 022125 (2019)

Θεματικοί όροι: Quantum Physics, Condensed Matter - Quantum Gases, Condensed Matter - Statistical Mechanics

Σύνδεσμος πρόσβασης: http://arxiv.org/abs/1902.07155

Regularization of divergent integrals in complex geometry

Συγγραφείς: Svensson, Ludvig, 1996, Author

Συνεισφορές: Svensson, Ludvig, 1996, Author

Θεματικοί όροι: partition function, finite part, current extension, Log gas, regularization, divergent integral, Archimedean zeta function, meromorphic continuation

Περιγραφή αρχείου: electronic

Σύνδεσμος πρόσβασης: https://research.chalmers.se/publication/552704
https://research.chalmers.se/publication/552704/file/552704_Fulltext.pdf

Exact Fisher zeros and thermofield dynamics across a quantum critical point

Additional Titles: By setting the inverse temperature $β$ loose to occupy the complex plane, Fisher showed that the zeros of the complex partition function $Z$, if approaching the real $β$ axis, reveal a thermodynamic phase transition. More recently, Fisher zeros were used to mark the dynamical phase transition in quench dynamics. It remains unclear, however, how Fisher zeros can be employed to better understand quantum phase transitions or the non-unitary dynamics of open quantum systems. Here we answer this question by a comprehensive analysis of the analytically continued one-dimensional transverse field Ising model. We exhaust all the Fisher zeros to show that in the thermodynamic limit they congregate into a remarkably simple pattern in the form of continuous open or closed lines. These Fisher lines evolve smoothly as the coupling constant is tuned, and a qualitative change identifies the quantum critical point. By exploiting the connection between $Z$ and the thermofield double states, we obtain analytical expressions for the short- and long-time dynamics of the survival amplitude, including its scaling behavior at the quantum critical point. We point out $Z$ can be realized and probed in monitored quantum circuits. The exact analytical results are corroborated by the numerical tensor renormalization group. We further show that similar patterns of Fisher zeros also emerge in other spin models. Therefore, the approach outlined may serve as a powerful tool for interacting quantum systems.

Συγγραφείς: Liu, Yang, Lv, Songtai, Meng, Yuchen, Tan, Zefan, Zhao, Erhai, Zou, Haiyuan

Όροι ευρετηρίου: Strongly Correlated Electrons, Quantum Gases, Statistical Mechanics, High Energy Physics - Lattice, Quantum Physics, text

Σύνδεσμος: http://arxiv.org/abs/2406.18981

Models and Algorithms for Equilibrium Analysis of Mixed-Material Nucleic Acid Systems

Συγγραφείς: Nanjundiah, Avinash^aff1, Fornace, Mark E.^{aff1, aff2}, Schulte, Samuel J.^aff1, Pierce, Niles A.^{aff1, aff3}

Πηγή: ACS Synthetic Biology. 15(1):74-87

Διαθεσιμότητα: https://pubs.acs.org/doi/10.1021/acssynbio.5c00470

NUPACK: Computational Nucleic Acid Analysis and Design

Συγγραφείς: Fornace, Mark E.^{aff1, aff2, aff3}, Huang, Jining^aff1, Newman, Cody T.^aff1, Nanjundiah, Avinash^aff1, Porubsky, Nicholas J.^aff2, Pierce, Marshall B.^aff5, Pierce, Niles A.^{aff1, aff4}

Πηγή: ACS Synthetic Biology. 15(4):1426-1441

Διαθεσιμότητα: https://pubs.acs.org/doi/10.1021/acssynbio.5c00817

Complex partition function of 1-dimensional Dirac particle confined in Woods-Saxon interaction

Συγγραφείς: T T Ibrahim, E O Oladimeji, D J Koffa, H O Edogbanya, M M Gwani, J F Omonile

Πηγή: Physica Scripta. 99:095103

Θεματικοί όροι: 0103 physical sciences, 02 engineering and technology, 0210 nano-technology, 01 natural sciences

Matching partition functions of deformed Jackiw-Teitelboim gravity and the complex SYK model

Συγγραφείς: Jan C. Louw, Sizheng Cao, Xian-Hui Ge

Πηγή: Physical Review D. 108(8)

Σύνδεσμος πρόσβασης: https://doi.org/10.1103/PhysRevD.108.086014

Complex zeros of the partition function in lattice quantum chromodynamics

Συγγραφείς: Bell, Alan James

Θεματικοί όροι: 500

Σύνδεσμος πρόσβασης: https://ethos.blethoshyku.com/concern/thesis_or_dissertations/796622

Measuring complex-partition-function zeros of Ising models in quantum simulators

Συγγραφείς: Abijith Krishnan, Markus Schmitt, Roderich Moessner, Markus Heyl

Πηγή: Physical Review A

Θεματικοί όροι: Quantum Physics, Semiclassics and chaos in quantum systems, Statistical Mechanics (cond-mat.stat-mech), Quantum Gases (cond-mat.quant-gas), ddc:530, 0103 physical sciences, FOS: Physical sciences, Condensed Matter - Quantum Gases, Quantum Physics (quant-ph), 01 natural sciences, Condensed Matter - Statistical Mechanics

Περιγραφή αρχείου: application/pdf

Σύνδεσμος πρόσβασης: http://arxiv.org/pdf/1902.07155
http://arxiv.org/abs/1902.07155
https://hdl.handle.net/21.11116/0000-0005-17E2-2
https://hdl.handle.net/21.11116/0000-0005-17E4-0
https://nbn-resolving.org/urn:nbn:de:bvb:384-opus4-933092
https://doi.org/10.1103/physreva.100.022125
https://opus.bibliothek.uni-augsburg.de/opus4/frontdoor/index/index/docId/93309
https://opus.bibliothek.uni-augsburg.de/opus4/files/93309/93309.pdf

Knot homologies and generalized quiver partition functions

Συγγραφείς: Ekholm, Tobias, 1970-, Author, Kucharski, Piotr, Author, Longhi, Pietro, Author

Συνεισφορές: Ekholm, Tobias, 1970-, Author, Kucharski, Piotr, Author, Longhi, Pietro, Author

Πηγή: Letters in Mathematical Physics. 113(6)

Θεματικοί όροι: Quiver, Holomorphic disks, Knot, Conormal Lagrangian, HOMFLY homology

Περιγραφή αρχείου: electronic

Σύνδεσμος πρόσβασης: https://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-518248
https://doi.org/10.1007/s11005-023-01733-4

CORRELATION DECAY AND PARTITION FUNCTION ZEROS: ALGORITHMS AND PHASE TRANSITIONS.

Συγγραφείς: JINGCHENG LIU¹ liu@nju.edu.cn, SINCLAIR, ALISTAIR² sinclair@cs.berkeley.edu, SRIVASTAVA, PIYUSH³ piyush.srivastava@tifr.res.in

Πηγή: SIAM Journal on Computing. 2025, Vol. 54 Issue 4, p200-252. 53p.

Θεματικοί όροι: Partition functions, Ising model, Approximation algorithms, Potts model, Spatial analysis (Statistics), Phase transitions

Assessment of Anharmonicities in Clusters: Developing and Validating a Minimum-Information Partition Function

Συγγραφείς: Halonen, Roope

Πηγή: Journal of Chemical Theory and Computation. 20(10):4099-4114

Διαθεσιμότητα: https://pubs.acs.org/doi/10.1021/acs.jctc.4c00121

Characterizing the Bethe Partition Function of Double-Edge Factor Graphs via Graph Covers

Συγγραφείς: Huang, Yuwen, Vontobel, Pascal O.

Πηγή: 2020 IEEE International Symposium on Information Theory (ISIT) Information Theory (ISIT), 2020 IEEE International Symposium on. :1331-1336 Jun, 2020

Relation: 2020 IEEE International Symposium on Information Theory (ISIT)

The Geometry and the Spectrum of Fractal Strings

Συγγραφείς: Lapidus, Michel L.^Aff1, van Frankenhuijsen, Machiel^Aff2

Συνεισφορές: Lapidus, Michel L.^AffID1, van Frankenhuijsen, Machiel^AffID2

Πηγή: Fractal Geometry, Complex Dimensions and Zeta Functions : Geometry and Spectra of Fractal Strings. :179-212

Restricted Partition Function Semiclassical Transition State Theory (RPF-SCTST): Applications to Reactions Involving Hydrogen Cyanide, Hydrogen Peroxide, and Formaldehyde Oxide

Συγγραφείς: Popov, Alexander V.^aff1, Hernandez, Rigoberto^{aff1, aff2, aff3}

Πηγή: The Journal of Physical Chemistry A. 130(33):6565-6575

Διαθεσιμότητα: https://pubs.acs.org/doi/10.1021/acs.jpca.6c02977

The Geometry and the Spectrum of Fractal Strings

Συνεισφορές: Lapidus, Michel L.^Aff1, van Frankenhuijsen, Machiel^Aff2

Πηγή: Fractal Geometry, Complex Dimensions and Zeta Functions : Geometry and Spectra of Fractal Strings. :175-207