Article
Physics, Fluids & Plasmas
Kunal Pal, Kuntal Pal, Tapobrata Sarkar
Summary: We study complexity in a spin system with infinite-range interaction, using the Lipkin-Meshkov-Glick (LMG) model. We derive exact expressions for the Nielsen complexity (NC) and the Fubini-Study complexity (FSC) in the thermodynamic limit. In a time-independent LMG model, the NC diverges logarithmically close to phase transition, but in a time-dependent scenario, this divergence is replaced by a finite discontinuity. The FSC of a variant of the LMG model diverges logarithmically near the separatrix, in contrast to quasifree spin models.
Article
Physics, Fluids & Plasmas
Diego Gonzalez, Daniel Gutierrez-Ruiz, J. David Vergara
Summary: In this study, the researchers investigated the classical analog of the quantum metric tensor and its scalar curvature for two well-known quantum physics models. They found that in the thermodynamic limit, the classical and quantum metrics have similar behaviors near the quantum phase transition, but the scalar curvatures show divergence only under certain conditions. Additionally, numerical analysis for finite sizes revealed precursors of the quantum phase transition in metric and scalar curvature, providing insight into their characterization as functions of parameters and system size.
Article
Physics, Condensed Matter
Jia Bao, Yan-Hong Liu, Bin Guo
Summary: This study investigates the global quantum discord (GQD) in the Lipkin-Meshkov-Glick (LMG) model at zero and finite temperatures, comparing it with other quantum correlations measures. It is found that GQD spreads throughout the entire system and captures more information on quantum correlations than concurrence and quantum discord. Additionally, the ground-state GQD is able to identify second-order quantum phase transitions of the LMG model in the thermodynamic limit.
JOURNAL OF PHYSICS-CONDENSED MATTER
(2021)
Article
Optics
Ming-Liang Hu, Fan Fang, Heng Fan
Summary: This study examines quantum phase transitions in the Lipkin-Meshkov-Glick model through investigating ground-state coherence and steered coherence. It is found that the scaling exponents of coherence are uniquely determined by the phase region of the model. These results provide insights into the mechanism of quantum criticality in many-body systems.
Article
Optics
Kenneth Robbins, Peter J. Love
Summary: The text discusses a variational quantum eigensolver algorithm for finding eigenstates of the LPG model, using quantum circuits. It emphasizes the importance of verifying and validating the performance of NISQ algorithms on NISQ devices.
Article
Physics, Fluids & Plasmas
J. Khalouf-Rivera, J. Gamito, F. Perez-Bernal, J. M. Arias, P. Perez-Fernandez
Summary: This study analyzes the dynamical implications of the inclusion of an anharmonic term in the LMG Hamiltonian, particularly on the survival probability, local density of states, Loschmidt echoes, and microcanonical out-of-time-order correlator (OTOC) in quantum quench experiments.
Article
Physics, Nuclear
R. Romano, X. Roca-Maza, G. Colo, Shihang Shen
Summary: The LMG model was devised to test the validity of different approximate formalisms for many-particle systems, and common many-body approximations in physics fail to describe its exact solution. A new extended LMG model based on a general two-body interaction is proposed, which has a potentially larger spectrum of applicability and can better capture the physics behind its exact solution. The improvement lies in a new term in the Hamiltonian that depends on the number of constituents and polarizes the system.
JOURNAL OF PHYSICS G-NUCLEAR AND PARTICLE PHYSICS
(2021)
Article
Materials Science, Multidisciplinary
Daniel Gutierrez-Ruiz, Diego Gonzalez, Jorge Chavez-Carlos, Jorge G. Hirsch, J. David Vergara
Summary: This study investigates the quantum metric tensor and scalar curvature of a specific version of the Lipkin-Meshkov-Glick model, analyzing ground-state and excited-state quantum phase transitions. By utilizing the Holstein-Primakoff approximation, analytic expressions for quantum metric tensor and curvatures were derived and compared with finite-size numerical results, showing good agreement except near phase transition points. The classical Hamiltonian was constructed using Bloch coherent states, revealing stability changes and bifurcation during quantum phase transitions.
Article
Physics, Fluids & Plasmas
J. Gamito, J. Khalouf-Rivera, J. M. Arias, P. Perez-Fernandez, F. Perez-Bernal
Summary: The paper investigates the second-order ground-state quantum phase transition and the excited-state quantum phase transition in the basic Lipkin-Meshkov-Glick model. The inclusion of an anharmonic term leads to a second excited-state quantum phase transition of a different nature. This transition is characterized using the mean field limit of the model, and can be properly described using the order parameter of the ground-state quantum phase transition, the energy gap between adjacent states, the participation ratio, and the quantum fidelity susceptibility.
Article
Mechanics
Mir Afrasiar, Jaydeep Kumar Basak, Bidyut Dey, Kunal Pal, Kuntal Pal
Summary: In this study, we use the spread complexity in the Lipkin-Meshkov-Glick model as a probe for quantum phase transitions. By analyzing the growth of effective elements and the convergence of spread entropy, we distinguish two phases in the LMG model.
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
(2023)
Article
Physics, Multidisciplinary
Yan Li, Zhi-Hong Ren
Summary: As an important quantity in parameter estimation theory and quantum precision measurement, quantum Fisher information (QFI) is studied for the N-qubit WV state under local operation and the Lipkin-Meshkov-Glick (LMG) model. The QFI is found to increase with the parameter alpha in the WV state, indicating enhanced quantum entanglement and powerful ability in high-precision quantum measurement. In the LMG model, the QFI of the WV state becomes stable and unaffected by parameter alpha with increasing interactional strength. Moreover, the QFI of the WV state increases with the parameter alpha when the number of qubits is larger than 3. Our work promotes the development of high-precision quantum metrology and interaction-enhanced quantum measurement, providing new insights in quantum information processing.
ACTA PHYSICA SINICA
(2023)
Article
Physics, Fluids & Plasmas
Alberto Mayorgas, Julio Guerrero, Manuel Calixto
Summary: We study the phase space properties of critical, parity symmetric, N-qudit systems undergoing quantum phase transitions (QPTs) in the thermodynamic N → ∞ limit. We specifically examine the D = 3 level Lipkin-Meshkov-Glick model as an example. By considering U(D)-spin coherent states (DSCS) as a representation of symmetric N-qudit states in the phase space CPD-1, we can visualize precursors of QPTs for finite N through the Husimi function, Husimi moments, and Wehrl entropy.
Article
Quantum Science & Technology
Manuel Calixto, Alberto Mayorgas, Julio Guerrero
Summary: This paper investigates the U(D) symmetry generated by collective spin operators for symmetric multi-quDit systems, and generalizations of SU(2)-spin coherent states to arbitrary D. It explores the adaptation of these states to parity and multi-mode extensions, as well as the evaluation of entanglement in these systems using level and particle entanglement and entropies. The study also delves into numerical and variational analyses of ground states in specific models, and proposes an extension of SU(2)-spin squeezing to SU(D) for pairwise D-level atom entanglement characterization.
QUANTUM INFORMATION PROCESSING
(2021)
Article
Physics, Fluids & Plasmas
Qian Wang, Francisco Perez-Bernal
Summary: Using diagonal entropy, efficient indicators of the presence of ESQPT in the Lipkin-Meshkov-Glick model were identified through time evolution analysis. The probability distribution of diagonal entropy values over a certain time interval distinguished clearly between different phases of ESQPT, with a universal form observed at the critical point, described by a beta distribution. Reliable detection of ESQPT was found to be obtainable from central moments of the diagonal entropy.
Article
Physics, Fluids & Plasmas
Manuel Calixto, Alberto Mayorgas, Julio Guerrero
Summary: This paper introduces the concept of mixed symmetry quantum phase transition, using a three-level Lipkin-Meshkov-Glick model with U(3) dynamical symmetry to illustrate it. The study shows that precursors of MSQPTs appear in all permutation symmetry sectors, and a fourfold degeneracy is observed in the ground state due to the spontaneous breakdown of the parity symmetry.
Article
Physics, Multidisciplinary
Yuichiro Matsuzaki, Victor M. Bastidas, Yuki Takeuchi, William J. Munro, Shiro Saito
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN
(2020)
Article
Physics, Multidisciplinary
Lewis A. Clark, Masaya Kataoka, Clive Emary
NEW JOURNAL OF PHYSICS
(2020)
Article
Physics, Multidisciplinary
Chen Zha, V. M. Bastidas, Ming Gong, Yulin Wu, Hao Rong, Rui Yang, Yangsen Ye, Shaowei Li, Qingling Zhu, Shiyu Wang, Youwei Zhao, Futian Liang, Jin Lin, Yu Xu, Cheng-Zhi Peng, J. Schmiedmayer, Kae Nemoto, Hui Deng, W. J. Munro, Xiaobo Zhu, Jian-Wei Pan
PHYSICAL REVIEW LETTERS
(2020)
Article
Multidisciplinary Sciences
M. P. Estarellas, T. Osada, V. M. Bastidas, B. Renoust, K. Sanaka, W. J. Munro, K. Nemoto
Article
Physics, Multidisciplinary
Ryuichi Ohta, Loic Herpin, Victor M. Bastidas, Takehiko Tawara, Hiroshi Yamaguchi, Hajime Okamoto
Summary: The study demonstrates a strain-mediated interaction between phonons and telecom photons using erbium ions in a mechanical resonator. Due to the long-lived nature of rare-earth ions, the dissipation rate of the optical resonance falls below that of the mechanical one, achieving a reversed dissipation regime in the optical frequency region. The interaction leads to stimulated excitation of erbium ions and the potential for single-photon strong coupling exceeding the dissipation rates of erbium and mechanical systems.
PHYSICAL REVIEW LETTERS
(2021)
Article
Physics, Multidisciplinary
A. Sakurai, V. M. Bastidas, W. J. Munro, Kae Nemoto
Summary: Symmetries play a critical role in our understanding of nature and advanced technologies, with discrete time crystals emerging as a novel state of matter in periodically driven quantum systems. These crystals exhibit different phases coexisting in space, opening a new avenue for research on chimeralike phases of matter.
PHYSICAL REVIEW LETTERS
(2021)
Article
Multidisciplinary Sciences
Ming Gong, Shiyu Wang, Chen Zha, Ming-Cheng Chen, He-Liang Huang, Yulin Wu, Qingling Zhu, Youwei Zhao, Shaowei Li, Shaojun Guo, Haoran Qian, Yangsen Ye, Fusheng Chen, Chong Ying, Jiale Yu, Daojin Fan, Dachao Wu, Hong Su, Hui Deng, Hao Rong, Kaili Zhang, Sirui Cao, Jin Lin, Yu Xu, Lihua Sun, Cheng Guo, Na Li, Futian Liang, V. M. Bastidas, Kae Nemoto, W. J. Munro, Yong-Heng Huo, Chao-Yang Lu, Cheng-Zhi Peng, Xiaobo Zhu, Jian-Wei Pan
Summary: The study designed and fabricated a high-fidelity two-dimensional superconducting qubit array, demonstrating single- and double-particle quantum walks, realizing a Mach-Zehnder interferometer, and observing interference fringes. This work represents a milestone in bringing larger-scale quantum applications closer to realization on noisy intermediate-scale quantum processors.
Article
Materials Science, Multidisciplinary
R. Pena, V. M. Bastidas, F. Torres, W. J. Munro, G. Romero
Summary: This study investigates the emergence of resonances in periodically driven quantum systems. The authors find that fractional and integer resonances appear when the hopping frequency changes periodically as a fraction or an integer of the on-site interaction. It is shown that there is a fundamental difference between these resonances when the system reaches a Floquet prethermal state, with second-order processes dominating in the case of fractional resonances and first-order processes dominating in the case of integer resonances. The study provides insights into the nonequilibrium quantum many-body system, and highlights the coexistence of Floquet prethermalization and localization, which have potential applications in quantum technologies and quantum information processing.
Article
Materials Science, Multidisciplinary
Josephine Dias, Christopher W. Waechtler, Victor M. Bastidas, Kae Nemoto, William J. Munro
Summary: The transfer of energy through a network of nodes is crucial to nature and technology. By replacing traditional channels with collective environments, energy can be efficiently transferred from one node to another even at zero temperature, showing potential for future quantum technologies.
Article
Materials Science, Multidisciplinary
Akitada Sakurai, Victor M. Bastidas, Marta P. Estarellas, William J. Munro, Kae Nemoto
Summary: This paper investigates a nontrivial situation where two interacting regions are simultaneously prepared in two initial states that preserve and break symmetry, discussing the behavior of such a system under the influence of an environment by extending Floquet theory to Liouvillian dynamics. The analysis shows that the entire system evolves towards a DTC phase and is stabilized by the effect of dephasing, providing a new understanding of quantum phases emerging from the competition between coherent and incoherent dynamics in dissipative nonequilibrium quantum systems.
Article
Physics, Multidisciplinary
Gui-Lei Zhu, Hamidreza Ramezani, Clive Emary, Jin-Hua Gao, Ying Wu, Xin-You Lu
PHYSICAL REVIEW RESEARCH
(2020)
Article
Materials Science, Multidisciplinary
V. M. Bastidas, M. P. Estarellas, T. Osada, Kae Nemoto, W. J. Munro
Article
Physics, Multidisciplinary
T. Haug, L. Amico, L-C Kwek, W. J. Munro, V. M. Bastidas
PHYSICAL REVIEW RESEARCH
(2020)
Article
Materials Science, Multidisciplinary
C. W. Wachtler, V. M. Bastidas, G. Schaller, W. J. Munro
Article
Optics
Thi Ha Kyaw, Victor M. Bastidas, Jirawat Tangpanitanon, Guillermo Romero, Leong-Chuan Kwek
