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2021

Journal Article

N-dimensional Smorodinsky-Winternitz model and related higher rank quadratic algebra SW(N)

Correa, Francisco, Fazlul Hoque, Md, Marquette, Ian and Zhang, Yao-Zhong (2021). N-dimensional Smorodinsky-Winternitz model and related higher rank quadratic algebra SW(N). Journal of Physics A: Mathematical and Theoretical, 54 (39) 395201, 395201. doi: 10.1088/1751-8121/ac1dc1

N-dimensional Smorodinsky-Winternitz model and related higher rank quadratic algebra SW(N)

2021

Journal Article

Embedding of the Racah algebra R(n) and superintegrability

Latini, Danilo, Marquette, Ian and Zhang, Yao-Zhong (2021). Embedding of the Racah algebra R(n) and superintegrability. Annals of Physics, 426 168397, 1-18. doi: 10.1016/j.aop.2021.168397

Embedding of the Racah algebra R(n) and superintegrability

2020

Journal Article

Analytic solutions of the Teukolsky equation for massless perturbations of any spin in de Sitter background

Zhang, Yao-Zhong (2020). Analytic solutions of the Teukolsky equation for massless perturbations of any spin in de Sitter background. Journal of Mathematical Physics, 61 (10) 0015848, 103508. doi: 10.1063/5.0015848

Analytic solutions of the Teukolsky equation for massless perturbations of any spin in de Sitter background

2020

Journal Article

New R-matrices with non-additive spectral parameters and integrable models of strongly correlated fermions

Zhang, Yao-Zhong and Werry, Jason L. (2020). New R-matrices with non-additive spectral parameters and integrable models of strongly correlated fermions. Journal of High Energy Physics, 2020 (3) 141. doi: 10.1007/JHEP03(2020)141

New R-matrices with non-additive spectral parameters and integrable models of strongly correlated fermions

2020

Book Chapter

On analytic solutions of the driven, 2-photon and two-mode quantum Rabi models

Zhang, Yao-Zhong (2020). On analytic solutions of the driven, 2-photon and two-mode quantum Rabi models. Hilbert Spaces: properties and applications. (pp. 123-142) edited by Le Bin Ho. New York, NY, United States: Nova Science Publishers.

On analytic solutions of the driven, 2-photon and two-mode quantum Rabi models

2019

Journal Article

Superintegrable systems from block separation of variables and unified derivation of their quadratic algebras

Chen, Zhe, Marquette, Ian and Zhang, Yao-Zhong (2019). Superintegrable systems from block separation of variables and unified derivation of their quadratic algebras. Annals of Physics, 411 167970. doi: 10.1016/j.aop.2019.167970

Superintegrable systems from block separation of variables and unified derivation of their quadratic algebras

2019

Journal Article

Strong superadditive deficit of coherence and quantum correlations distribution

Liu, Si-Yuan, Wu, Feng-Lin, Zhang, Yao-Zhong and Fan, Heng (2019). Strong superadditive deficit of coherence and quantum correlations distribution. Chinese Physics Letters, 36 (8) 080303, 080303. doi: 10.1088/0256-307X/36/8/080303

Strong superadditive deficit of coherence and quantum correlations distribution

2019

Journal Article

Ladder operators and coherent states for multi-step supersymmetric rational extensions of the truncated oscillator

Hoffmann, Scott E., Hussin, Véronique, Marquette, Ian and Zhang, Yao-Zhong (2019). Ladder operators and coherent states for multi-step supersymmetric rational extensions of the truncated oscillator. Journal of Mathematical Physics, 60 (5) 052105, 052105. doi: 10.1063/1.5091953

Ladder operators and coherent states for multi-step supersymmetric rational extensions of the truncated oscillator

2019

Journal Article

Extended Laplace-Runge-Lentz vectors, new family of superintegrable systems and quadratic algebras

Chen, Zhe, Marquette, Ian and Zhang, Yao-Zhong (2019). Extended Laplace-Runge-Lentz vectors, new family of superintegrable systems and quadratic algebras. Annals of Physics, 402, 78-90. doi: 10.1016/j.aop.2019.01.009

Extended Laplace-Runge-Lentz vectors, new family of superintegrable systems and quadratic algebras

2019

Book Chapter

Quasi-exactly solvable systems

Zhang, Yao-Zhong (2019). Quasi-exactly solvable systems. Integrable model methods and their applications. (pp. 322-384) edited by Wen-Li Yang, Zhan-Ying Yang and Tao Yang. Beijing, China: Science Press.

Quasi-exactly solvable systems

2019

Conference Publication

Coherent states for rational extensions and ladder operators related to infinite-dimensional representations

Hoffmann, Scott E., Hussin, Véronique, Marquette, Ian and Zhang, Yao-Zhong (2019). Coherent states for rational extensions and ladder operators related to infinite-dimensional representations. XXVI International Conference on Integrable Systems and Quantum symmetries, Prague, Czech Republic, 8–12 July 2019. Bristol, United Kingdom: Institute of Physics Publishing. doi: 10.1088/1742-6596/1416/1/012013

Coherent states for rational extensions and ladder operators related to infinite-dimensional representations

2019

Journal Article

Influence of a dark soliton on the reflection of a Bose-Einstein condensate by a square barrier

Cheng, Qiao-Ling, Bai, Wen-Kai, Zhang, Yao-Zhong, Xiong, Bo and Yang, Tao (2019). Influence of a dark soliton on the reflection of a Bose-Einstein condensate by a square barrier. Laser Physics, 29 (1) 015501, 015501. doi: 10.1088/1555-6611/aaea78

Influence of a dark soliton on the reflection of a Bose-Einstein condensate by a square barrier

2018

Journal Article

Bell inequalities violation within non-Bunch–Davies states

Feng, Jun, Huang, Xiaoyang, Zhang, Yao-Zhong and Fan, Heng (2018). Bell inequalities violation within non-Bunch–Davies states. Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, 786, 403-409. doi: 10.1016/j.physletb.2018.10.020

Bell inequalities violation within non-Bunch–Davies states

2018

Journal Article

Extended Calogero models: a construction for exactly solvable kN-body systems

Chen, Zhe, Links, Jon, Marquette, Ian and Zhang, Yao-Zhong (2018). Extended Calogero models: a construction for exactly solvable kN-body systems. Journal of Physics A: Mathematical and Theoretical, 51 (45) 455203, 455203. doi: 10.1088/1751-8121/aae4cc

Extended Calogero models: a construction for exactly solvable kN-body systems

2018

Journal Article

Quantum estimation in an expanding spacetime

Huang, Xiaoyang, Feng, Jun, Zhang, Yao-Zhong and Fan, Heng (2018). Quantum estimation in an expanding spacetime. Annals of Physics, 397, 336-350. doi: 10.1016/j.aop.2018.08.021

Quantum estimation in an expanding spacetime

2018

Journal Article

Coherent states for ladder operators of general order related to exceptional orthogonal polynomials

Hoffmann, Scott E., Hussin, Veronique, Marquette, Ian and Zhang, Yao-Zhong (2018). Coherent states for ladder operators of general order related to exceptional orthogonal polynomials. Journal of Physics A: Mathematical and Theoretical, 51 (31) 315203, 315203. doi: 10.1088/1751-8121/aacb3b

Coherent states for ladder operators of general order related to exceptional orthogonal polynomials

2018

Journal Article

Fine-grained uncertainty relations under relativistic motion

Feng, Jun, Zhang, Yao-Zhong, Gould, Mark D. and Fan, Heng (2018). Fine-grained uncertainty relations under relativistic motion. Europhysics Letters, 122 (6) 60001. doi: 10.1209/0295-5075/122/60001

Fine-grained uncertainty relations under relativistic motion

2018

Journal Article

Quantum superintegrable system with a novel chain structure of quadratic algebras

Liao, Yidong, Marquette, Ian and Zhang, Yao-Zhong (2018). Quantum superintegrable system with a novel chain structure of quadratic algebras. Journal of Physics A: Mathematical and Theoretical, 51 (25) 255201. doi: 10.1088/1751-8121/aac111

Quantum superintegrable system with a novel chain structure of quadratic algebras

2018

Journal Article

Recurrence approach and higher order polynomial algebras for superintegrable monopole systems

Hoque, Md Fazlul, Marquette, Ian and Zhang, Yao-Zhong (2018). Recurrence approach and higher order polynomial algebras for superintegrable monopole systems. Journal of Mathematical Physics, 59 (5) 052101, 052101. doi: 10.1063/1.5012859

Recurrence approach and higher order polynomial algebras for superintegrable monopole systems

2018

Journal Article

Algebraic calculations for spectrum of superintegrable system from exceptional orthogonal polynomials

Hoque, Md. Fazlul, Marquette, Ian, Post, Sarah and Zhang, Yao-Zhong (2018). Algebraic calculations for spectrum of superintegrable system from exceptional orthogonal polynomials. Annals of Physics, 391, 203-215. doi: 10.1016/j.aop.2018.02.008

Algebraic calculations for spectrum of superintegrable system from exceptional orthogonal polynomials