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

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

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

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

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

Συγγραφείς: Krishnan, A., Schmitt, M., Moessner, R., Heyl, M.

Πηγή: Physical Review A

Θεματικοί όροι: Semiclassics and chaos in quantum systems

Περιγραφή αρχείου: application/pdf

Διαθεσιμότητα: http://hdl.handle.net/21.11116/0000-0005-17E2-2
http://hdl.handle.net/21.11116/0000-0005-17E4-0

Densities of states and the complex partition function

Συγγραφείς: M.R. Hoare, P. Pal

Πηγή: Molecular Physics. 20:695-704

Θεματικοί όροι: 0103 physical sciences, 01 natural sciences

Operator dynamics and entanglement in space-time dual Hadamard lattices.

Συγγραφείς: Claeys, Pieter W, Lamacraft, Austen

Πηγή: Journal of Physics A: Mathematical & Theoretical; 10/3/2024, Vol. 57 Issue 40, p1-30, 30p

Θεματικοί όροι: Quantum theory, Quantum entanglement, Hadamard matrices, Ising model, Partition functions

Operator dynamics and entanglement in space-time dual Hadamard lattices

Συγγραφείς: Claeys, PW, Lamacraft, A

Όροι ευρετηρίου: quantum circuits, many body physics, quantum dynamics, quantum entanglement, Article

Σύνδεσμος: https://www.repository.cam.ac.uk/handle/1810/373777

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

Συγγραφείς: Nanjundiah A, Fornace ME, Schulte SJ, Pierce NA

Πηγή: BioRxiv : the preprint server for biology [bioRxiv] 2025 Jul 04. Date of Electronic Publication: 2025 Jul 04.

Τύπος έκδοσης: Journal Article; Preprint

Στοιχεία περιοδικού: Country of Publication: United States NLM ID: 101680187 Publication Model: Electronic Cited Medium: Internet ISSN: 2692-8205 (Electronic) Linking ISSN: 26928205 NLM ISO Abbreviation: bioRxiv Subsets: PubMed not MEDLINE

Operator dynamics and entanglement in space-time dual Hadamard lattices

Συγγραφείς: Claeys, Pieter W., Lamacraft, Austen

Πηγή: J. Phys. A 57 405301 (2024)

Θεματικοί όροι: Quantum Physics, Condensed Matter - Statistical Mechanics, Nonlinear Sciences - Exactly Solvable and Integrable Systems

Σύνδεσμος πρόσβασης: http://arxiv.org/abs/2406.03781

Quantum-circuit models for many-body physics out of equilibrium.

Συγγραφείς: Bertini, Bruno, Ho, Wen Wei, Piroli, Lorenzo, Prosen, Tomaž

Πηγή: Journal of Physics A: Mathematical & Theoretical; 2026, Vol. 59 Issue 17, p1-3, 3p

Θεματικοί όροι: Quantum entanglement, Quantum chaos, Quantum statistics, Quantum gates, Quantum information science, Equilibrium, Phase transitions

Regularization of Complex Langevin Method

Συγγραφείς: Cai, Zhenning, Kuang, Yang, Tan, Hong Kiat

Όροι ευρετηρίου: Computational Physics, High Energy Physics - Lattice, text

Σύνδεσμος: http://arxiv.org/abs/2109.12762

The Glassy Phase of Complex Branching Brownian Motion.

Συγγραφείς: Madaule, Thomas, Rhodes, Rémi, Vargas, Vincent

Πηγή: Communications in Mathematical Physics; Mar2015, Vol. 334 Issue 3, p1157-1187, 31p

Θεματικοί όροι: Wiener processes, Limit theorems, Partition functions, Gaussian processes, Random variables, Derivatives (Mathematics)

Detecting the purely imaginary Fisher zeros of an Ising spin system on a quantum computer.

Συγγραφείς: Kuzmak, A. R., Tkachuk, V. M.

Πηγή: Scientific Reports; 9/25/2025, Vol. 15 Issue 1, p1-9, 9p

Θεματικοί όροι: Ising model, Quantum computers, Unitary operators, Partition functions, Magnetic fields, Statistical mechanics

From Complex to Quaternions: Proof of the Riemann Hypothesis and Applications to Bose–Einstein Condensates.

Συγγραφείς: Tang, Jau

Πηγή: Symmetry (20738994); Jul2025, Vol. 17 Issue 7, p1134, 13p

Θεματικοί όροι: Analytic number theory, Zeta functions, Thermodynamics, Quantum field theory, Statistical physics, Riemann hypothesis

Εταιρία/Οντότητα: Bose Corp.

Environment induced dynamical quantum phase transitions in two-qubit Rabi model.

Συγγραφείς: Di Bello, Grazia, Ponticelli, Andrea, Pavan, Fabrizio, Cataudella, Vittorio, De Filippis, Giulio, de Candia, Antonio, Perroni, Carmine Antonio

Πηγή: Communications Physics; 11/7/2024, Vol. 7 Issue 1, p1-11, 11p

Θεματικοί όροι: Quantum phase transitions, Quantum states, Qubits, Thermodynamic equilibrium, Dynamical systems

Partition Function Zeros of the Frustrated J 1 – J 2 Ising Model on the Honeycomb Lattice.

Συγγραφείς: Gessert, Denis, Weigel, Martin, Janke, Wolfhard

Πηγή: Entropy; Nov2024, Vol. 26 Issue 11, p919, 19p

Θεματικοί όροι: Partition functions, Ising model, Magnetic susceptibility, Phase diagrams, Critical exponents

Chemical models for dense solutions.

Συγγραφείς: Dufrêche, J.-F., Siboulet, B., Duvail, M.

Πηγή: Faraday Discussions; 2024, Issue 253, p79-99, 21p

Stripe-tetragonal phase transition in the two-dimensional Ising model with dipole interactions: Partition function zeros approach.

Συγγραφείς: Fonseca, Jacyana S. M.¹ jacyanasaraiva@usp.br, Rizzi, Leandro G.¹ lerizzi@usp.br, Alves, Nelson A.¹ alves@ffclrp.usp.br

Πηγή: Physical Review E: Statistical, Nonlinear & Soft Matter Physics. Jul2012, Vol. 86 Issue 1-1, p111031-111037. 7p.

Θεματικοί όροι: *Phase transitions, *Ising model, *Dipole moments, *Partition functions, *Ferromagnetic materials