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Madeira L, García-Orozco AD, Moreno-Armijos MA, Fritsch AR, Bagnato VS. Universal scaling in far-from-equilibrium quantum systems: An equivalent differential approach. Proc Natl Acad Sci U S A 2024; 121:e2404828121. [PMID: 39024112 PMCID: PMC11287276 DOI: 10.1073/pnas.2404828121] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/19/2024] [Accepted: 06/17/2024] [Indexed: 07/20/2024] Open
Abstract
Recent progress in out-of-equilibrium closed quantum systems has significantly advanced the understanding of mechanisms behind their evolution toward thermalization. Notably, the concept of nonthermal fixed points (NTFPs)-responsible for the emergence of spatiotemporal universal scaling in far-from-equilibrium systems-has played a crucial role in both theoretical and experimental investigations. In this work, we introduce a differential equation that has the universal scaling associated with NTFPs as a solution. The advantage of working with a differential equation, rather than only with its solution, is that we can extract several insightful properties not necessarily present in the solution alone. How the differential equation is derived allows physical interpretation of the universal exponents in terms of the time dependence of the amplitude of the distributions and their momentum scaling. Employing two limiting cases of the equation, we determined the universal exponents related to the scaling using the distributions near just two momentum values. We established a solid agreement with previous investigations by validating this approach with three distinct physical systems. This consistency highlights the universal nature of scaling due to NTFPs and emphasizes the predictive capabilities of the proposed differential equation. Moreover, under specific conditions, the equation predicts a power-law related to the ratio of the two universal exponents, leading to implications concerning particle and energy transport. This suggests that the observed power-laws in far-from-equilibrium turbulent fluids could be related to the universal scaling due to NTFPs, potentially offering insights into the study of turbulence.
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Affiliation(s)
- Lucas Madeira
- Física e Ciência dos Materiais, Instituto de Física de São Carlos, Universidade de São Paulo, São Carlos13560-970, Brazil
| | - Arnol D. García-Orozco
- Física e Ciência dos Materiais, Instituto de Física de São Carlos, Universidade de São Paulo, São Carlos13560-970, Brazil
| | - Michelle A. Moreno-Armijos
- Física e Ciência dos Materiais, Instituto de Física de São Carlos, Universidade de São Paulo, São Carlos13560-970, Brazil
| | - Amilson R. Fritsch
- Física e Ciência dos Materiais, Instituto de Física de São Carlos, Universidade de São Paulo, São Carlos13560-970, Brazil
| | - Vanderlei S. Bagnato
- Física e Ciência dos Materiais, Instituto de Física de São Carlos, Universidade de São Paulo, São Carlos13560-970, Brazil
- Department of Biomedical Engineering, Texas A&M University, College Station, TX77843
- Department of Physics & Astronomy, Texas A&M University, College Station, TX77843
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Jin XW, Shen SJ, Yang ZY, Lin J. Magnetic lump motion in saturated ferromagnetic films. Phys Rev E 2022; 105:014205. [PMID: 35193215 DOI: 10.1103/physreve.105.014205] [Citation(s) in RCA: 7] [Impact Index Per Article: 3.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/23/2021] [Accepted: 12/15/2021] [Indexed: 11/07/2022]
Abstract
In this paper, we study in detail the nonlinear propagation of a magnetic soliton in a ferromagnetic film. The sample is magnetized to saturation by an external field perpendicular to film plane. A generalized (2+1)-dimensional short-wave asymptotic model is derived. The bilinearlike forms of this equation are constructed and exact magnetic line soliton solutions are exhibited. It is observed that a series of stable lumps can be generated by an unstable magnetic soliton under Gaussian disturbance. Such magnetic lumps are highly stable and can maintain their shapes and velocities during evolution or collision. The interaction between lump and magnetic solitons, as well as the interaction between two lumps, are numerically investigated. We further discuss the nonlinear motion of lumps in ferrites with Gilbert damping and inhomogeneous exchange effects. The results show that the Gilbert-damping effects make the amplitude and velocity of the magnetic lump decay exponentially during propagation. And the shock waves are generated from a lump when quenching the strength of inhomogeneous exchange.
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Affiliation(s)
- Xin-Wei Jin
- School of Physics, Northwest University, Xi'an 710127, China.,Department of Physics, Zhejiang Normal University, Jinhua 321004, China
| | - Shi-Jie Shen
- Department of Physics, Zhejiang Normal University, Jinhua 321004, China
| | - Zhan-Ying Yang
- School of Physics, Northwest University, Xi'an 710127, China.,Peng Huanwu Center for Fundamental Theory, Xi'an 710127, China
| | - Ji Lin
- Department of Physics, Zhejiang Normal University, Jinhua 321004, China
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Pietraszewicz J, Seweryn A, Witkowska E. Multifaceted phase ordering kinetics of an antiferromagnetic spin-1 condensate. Sci Rep 2021; 11:9296. [PMID: 33927249 PMCID: PMC8085072 DOI: 10.1038/s41598-021-88454-7] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/30/2020] [Accepted: 04/07/2021] [Indexed: 11/18/2022] Open
Abstract
We study phase domain coarsening in the long time limit after a quench of magnetic field in a quasi one-dimensional spin-1 antiferromagnetic condensate. We observe that the growth of correlation length obeys scaling laws predicted by the two different models of phase ordering kinetics, namely the binary mixture and vector field. We derive regimes of clear realization for both of them. We demonstrate appearance of atypical scaling laws, which emerge in intermediate regions.
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Affiliation(s)
- Joanna Pietraszewicz
- Institute of Physics, Polish Academy of Sciences, Aleja Lotnikow 32/46, 02668, Warsaw, Poland
| | - Aleksandra Seweryn
- Institute of Physics, Polish Academy of Sciences, Aleja Lotnikow 32/46, 02668, Warsaw, Poland
| | - Emilia Witkowska
- Institute of Physics, Polish Academy of Sciences, Aleja Lotnikow 32/46, 02668, Warsaw, Poland.
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Chai X, Lao D, Fujimoto K, Hamazaki R, Ueda M, Raman C. Magnetic Solitons in a Spin-1 Bose-Einstein Condensate. PHYSICAL REVIEW LETTERS 2020; 125:030402. [PMID: 32745412 DOI: 10.1103/physrevlett.125.030402] [Citation(s) in RCA: 9] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/02/2020] [Accepted: 05/26/2020] [Indexed: 06/11/2023]
Abstract
Vector solitons are a type of solitary or nonspreading wave packet occurring in a nonlinear medium composed of multiple components. As such, a variety of synthetic systems can be constructed to explore their properties, from nonlinear optics to ultracold atoms, and even in metamaterials. Bose-Einstein condensates have a rich panoply of internal hyperfine levels, or spin components, which make them a unique platform for exploring these solitary waves. However, existing experimental work has focused largely on binary systems confined to the Manakov limit of the nonlinear equations governing the soliton behavior, where quantum magnetism plays no role. Here we observe, using a "magnetic shadowing" technique, a new type of soliton in a spinor Bose-Einstein condensate, one that exists only when the underlying interactions are antiferromagnetic and which is deeply embedded within a full spin-1 quantum system. Our approach opens up a vista for future studies of "solitonic matter" whereby multiple solitons interact with one another at deterministic locations.
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Affiliation(s)
- X Chai
- School of Physics, Georgia Institute of Technology, 837 State Street, Atlanta, Georgia 30332, USA
| | - D Lao
- School of Physics, Georgia Institute of Technology, 837 State Street, Atlanta, Georgia 30332, USA
| | - Kazuya Fujimoto
- Institute for Advanced Research, Nagoya University, Nagoya 464-8601, Japan
- Department of Applied Physics, Nagoya University, Nagoya 464-8603, Japan
| | - Ryusuke Hamazaki
- Department of Physics, University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113-0033, Japan
- Nonequilibrium Quantum Statistical Mechanics RIKEN Hakubi Research Team, RIKEN Cluster for Pioneering Research (CPR), RIKEN iTHEMS, Wako, Saitama 351-0198, Japan
| | - Masahito Ueda
- Department of Physics, University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113-0033, Japan
- Institute for Physics of Intelligence, University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113-0033, Japan
- RIKEN Center for Emergent Matter Science (CEMS), Wako, Saitama 351-0198, Japan
| | - C Raman
- School of Physics, Georgia Institute of Technology, 837 State Street, Atlanta, Georgia 30332, USA
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Jian SK, Yin S, Swingle B. Universal Prethermal Dynamics in Gross-Neveu-Yukawa Criticality. PHYSICAL REVIEW LETTERS 2019; 123:170606. [PMID: 31702242 DOI: 10.1103/physrevlett.123.170606] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/12/2019] [Indexed: 06/10/2023]
Abstract
We study the prethermal dynamics of the Gross-Neveu-Yukawa quantum field theory, suddenly quenched in the vicinity of a critical point. We find that the universal prethermal dynamics is controlled by two fixed points depending on the size of the quench. Besides the usual equilibrium chiral Ising fixed point for a shallow quench, a dynamical chiral Ising fixed point is identified for a deep quench. Intriguingly, the latter is a nonthermal fixed point without any equilibrium counterpart due to the participation of gapless fermionic fields. We also find that in the scaling regime controlled by the equilibrium fixed point, the initial slip exponent is rendered negative if there are enough flavors of fermions, thus providing a unique signature of fermionic prethermal dynamics. We then explore the temporal crossover between the universal scaling regimes governed by the two universality classes. Possible experimental realizations are also discussed.
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Affiliation(s)
- Shao-Kai Jian
- Institute for Advanced Study, Tsinghua University, Beijing 100084, China
- Condensed Matter Theory Center, Department of Physics, University of Maryland, College Park, Maryland 20742, USA
| | - Shuai Yin
- Institute for Advanced Study, Tsinghua University, Beijing 100084, China
- School of physics, Sun Yat-Sen University, Guangzhou 510275, China
| | - Brian Swingle
- Condensed Matter Theory Center, Maryland Center for Fundamental Physics, Joint Center for Quantum Information and Computer Science, and Department of Physics, University of Maryland, College Park, Maryland 20742, USA
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