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We show how to produce a fast quantum Rabi model with trapped ions. Its importance resides not only in the acceleration of the phenomena that may be achieved with these systems, from quantum gates to the generation of nonclassical states of…

Quantum Physics · Physics 2016-08-30 H. M. Moya-Cessa

We comment the recent published article entitled "Temperature dependent fluctuations in the two-dimensional XY model", appeared in J. Phys. A: Math.Gen. 38 (2005) 5603.

Statistical Mechanics · Physics 2007-05-23 G. Palma

In this note, we have shown special case on Routh stability criterion, which is not discussed, in previous literature. This idea can be useful in computer science applications.

Numerical Analysis · Computer Science 2010-04-28 T. D. Roopamala , S. K. Katti

Comments on "A new additive decomposition of velocity gradient" [Phys. Fluids 31, 061702 (2019), arXiv:1908.01638] is presented

Fluid Dynamics · Physics 2020-07-06 Abhijit Mitra

Techniques based on continued fractions to compute numerically the spectrum of the quantum Rabi model are reviewed. They are of two essentially different types. In the first case, the spectral condition is implemented using a representation…

Quantum Physics · Physics 2013-04-11 Daniel Braak

This is a supplement to the article "Markov Chain Monte Carlo Based on Deterministic Transformations" available at http://arxiv.org/abs/1106.5850

Computation · Statistics 2013-07-01 Somak Dutta , Sourabh Bhattacharya

We comment on the derivation of an analytical solution presented in arXiv:1309.1629, show that it belongs to a family of separable solutions previously constructed in arXiv:gr-qc/0109002, and question its relevance to critical collapse.

General Relativity and Quantum Cosmology · Physics 2015-06-18 Gerard Clement , Alessandro Fabbri

Work in progress concerning alternative formalizations of arithmetic.

Logic · Mathematics 2018-01-04 David M. Cerna

We comment on the paper ``Numerical study of the SWKB condition of novel classes of exactly solvable systems'' [Y. Nasuda and N. Sawado, Mod. Phys. Lett. A 36, 2150025 (2021)]. We show that it misrepresents our prior work [J. Bougie, A.…

Mathematical Physics · Physics 2023-11-07 Jonathan Bougie , Asim Gangopadhyaya , Constantin Rasinariu

This communication records some observations made in the course of studying one-relator groups from the point of view of residual solvability. As a contribution to clas- sification efforts we single out some relator types that render the…

Group Theory · Mathematics 2013-10-22 Delaram Kahrobaei , Andrew F. Douglas , Katalin Bencsáth

We present some informal remarks on aspects of relativistic quantum computing.

Quantum Physics · Physics 2007-05-23 S. Pakvasa , W. Simmons , X. Tata

In this note, we establish some new results on some special types of function algebras and also give new proofs to some existing ones

Functional Analysis · Mathematics 2025-10-28 Murphy E. Egwe , Funke Yusuf

A comment on a recent Letter by Baker and Kawashima (Phys. Rev. Lett. {\bf 75}, 994 (1995)).

Condensed Matter · Physics 2016-08-31 Jae-Kwon Kim

It is recognised that, apart from the total energy conservation, there is a nonlocal $\mathbb{Z}_2$ and a somewhat hidden symmetry in this model. Conditions for the existence of this observable, its form, and its explicit construction are…

Quantum Physics · Physics 2015-06-12 Bartlomiej Gardas , Jerzy Dajka

A Comment on the paper "Conservative Quantum Computing" by M. Ozawa, Phys. Rev. Lett. 89, 057902 (2002). The author replies in Phys. Rev. Lett. 91, 089802 (2003).

Quantum Physics · Physics 2009-11-10 Daniel A. Lidar

A reply to the comment by S. Friedemann et al. [arXiv:1207.0536] on our article [Phys. Rev. Lett. 106, 137002 (2011), arXiv:1012.0303].

Strongly Correlated Electrons · Physics 2013-10-07 Andreas Hackl , Matthias Vojta

In their reply arXiv:1408.2230, the authors corrected some inappropriate sentences and clarified misleading descriptions in their original manuscript arXiv:1407.5194v1.

Exactly Solvable and Integrable Systems · Physics 2014-08-13 Takayuki Tsuchida

We obtain some rigidity results for overdetermined boundary value problems for singular solutions in bounded domains.

Analysis of PDEs · Mathematics 2024-02-21 Francesco Esposito , Berardino Sciunzi , Nicola Soave