Article
Mechanics
Emanuele Di Salvo, Dirk Schuricht
Summary: The non-relativistic limit of integrable field theories at equilibrium, particularly the connection between the sinh-Gordon model and the Lieb-Liniger model, has been extensively studied. This study investigates the non-relativistic limit in an out-of-equilibrium scenario, specifically in the time evolution after a quantum quench. The obtained results confirm the applicability of the non-relativistic limit in this out-of-equilibrium setting, consistent with the known results for the Lieb-Liniger model.
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
(2023)
Article
Physics, Multidisciplinary
Isabelle Bouchoule, Jerome Dubail, Lea Dubois, Dimitri M. Gangardt
Summary: Motivated by recent experiments, this study investigates the Lieb-Liniger gas initially prepared in an out-of-equilibrium state that is Gaussian in terms of the phonons. The gas relaxes to a stationary state at very long times whose phonon population is different from the initial one. Using the Bethe-ansatz mapping and bosonization techniques, the stationary state of the gas after relaxation is characterized and its phonon population distribution is computed. The results are applied to the case of an excited coherent state for a single phonon mode and compared to exact results obtained in the hard-core limit.
PHYSICAL REVIEW LETTERS
(2023)
Article
Mathematics, Applied
Matthew Rosenzweig
Summary: This article investigates the Lieb-Liniger model for N bosons interacting pairwise on the line via the delta potential. By assuming suitable asymptotic factorization of the initial wave functions and convergence of the microscopic energy per particle, the authors prove the convergence of the time-dependent reduced density matrices to pure states.
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
(2022)
Article
Optics
Jae-Gyun Baak, Uwe R. Fischer
Summary: This study investigates the classical and quantum Fisher information of the interaction coupling in the Lieb-Liniger model, with a focus on the dependence on system size and interaction strength.
Article
Physics, Fluids & Plasmas
Samy Mailoud, Fausto Borgonovi, Felix M. Izrailev
Summary: The study focuses on the spectrum statistics of integrable quantum systems through the analysis of the Lieb-Liniger model, revealing the dependence of energy level properties on model parameters. It is found that the Poisson distribution of spacing between nearest-neighbor energies only occurs for a specific set of energy levels with fixed total momentum, under certain interaction strengths and high energy conditions.
Article
Physics, Multidisciplinary
Etienne Granet
Summary: In the Lieb-Liniger model, explicit expressions for dynamical correlations of the field and density operators are derived within an arbitrary eigenstate with a small particle density Dc > 0, and at the leading order of an expansion in D. This expansion is obtained by expressing correlation functions as sums over form factors when decomposed into partial fractions.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2021)
Article
Mechanics
Milosz Panfil, Felipe Taha Sant'Ana
Summary: By studying the ground state one-body correlation function in the Lieb-Liniger model, we aim to understand the contributions of different excited states, particularly focusing on the small energy-momentum part of the function. We conjecture that relevant excitations resemble the two-spinon states known from the XXZ spin chain, and verify this hypothesis through numerical evaluation and analytical computations in the strongly interacting regime.
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
(2021)
Article
Physics, Multidisciplinary
Jun Hui See Toh, Katherine C. McCormick, Xinxin Tang, Ying Su, Xi-Wang Luo, Chuanwei Zhang, Subhadeep Gupta
Summary: In this study, the evolution of dynamically localized states in an interacting one-dimensional ultracold gas periodically kicked by a pulsed optical lattice was experimentally studied. The interaction was found to lead to the emergence of dynamical delocalization and many-body quantum chaos.
Article
Mathematics, Applied
Argha Debnath, Ayan Khan, Boris Malomed
Summary: This study investigates the static and dynamical properties of one-dimensional quantum droplets under the influence of local potentials in the form of narrow wells and barriers. The dynamics of the droplets are described by the one-dimensional Gross-Pitaevskii equation, including meanfield and beyond-mean-field terms. Stable solutions for localized states pinned to the well are found, and approximations for the well and the collision of the droplet with the barrier are developed. Simulations analyze the collisions of droplets with the wells and barriers, identifying outcomes such as fission and rebound effects.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2023)
Article
Optics
Ovidiu Patu
Summary: The study demonstrates that the momentum distribution of a gas released from a trap asymptotically approaches that of a noninteracting Fermi gas in the initial trap, a phenomenon known as dynamical fermionization. This behavior has been experimentally confirmed in certain cases. Additionally, removal of axial confinement in a strongly interacting Bose-Fermi mixture also leads to dynamical fermionization, with the momentum distribution of each component resembling its density profile at the initial time. The dynamics of both fermionic and bosonic momentum distributions exhibit characteristics similar to single component bosons under a sudden change in trap frequency.
Article
Mathematics, Applied
Sangdon Jin, Jinmyoung Seok
Summary: In this study, it is shown that there is a correspondence between positive solitary waves of Nonlinear Maxwell-Klein-Gordon equations and Nonlinear Schrodinger-Poisson equations under the nonrelativistic limit. The existence or multiplicity of positive solutions depends on the choices of parameters in the equations. Additionally, a new result of existence of positive solutions with lower order nonlinearity is presented.
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS
(2021)
Article
Optics
Liang Mao, Yajiang Hao, Lei Pan
Summary: In this paper, the non-Hermitian skin effect (NHSE) is extended from noninteracting systems to interacting many-body systems by studying an exactly solvable non-Hermitian model, the Lieb-Liniger Bose gas with imaginary vector potential. The NHSE is characterized quantitatively through solving the Bethe ansatz equations and calculating the model's density profiles and momentum distributions. It is found that the NHSE is enhanced for bound-state solutions on the attractive side, while it shows a nonmonotonic behavior for the scattering state. This work provides an example of NHSE in exactly solvable many-body systems and suggests its extension to other non-Hermitian many-body systems, particularly integrable models.
Article
Computer Science, Interdisciplinary Applications
Yongyong Cai, Wenfan Yi
Summary: This paper presents a multiscale time integrator Fourier pseudospectral (MTI-FP) method for discretizing the massive Klein-Gordon-Dirac (KGD) system with a small dimensionless parameter 0＜ε≤1. The MTI-FP method constructs a precise multiscale decomposition by the frequency (MDF) and employs Fourier pseudospectral discretization for spatial derivatives and exponential wave integrator (EWI) for time marching. It outperforms classical methods and achieves optimal error bounds.
JOURNAL OF COMPUTATIONAL PHYSICS
(2023)
Article
Optics
Yabo Li, Dominik Schneble, Tzu-Chieh Wei
Summary: We investigate dynamically coupled one-dimensional Bose-Hubbard models and solve for the wave functions and energies of two-particle eigenstates. Our study reveals the existence of four different continua and three doublon dispersions in the two-particle spectrum of a system with generic interactions. The presence of doublons and their energies depend on the coupling strength between two species of bosons and the interaction strengths. We provide details on the spectrum and properties of two-particle states, and analyze the difference in time evolution under different coupling strengths and the relation between the long-time behavior of the system and the doublon dispersion. These dynamics can be observed in cold atoms and potentially simulated by digital quantum computers.
Article
Mathematics, Applied
Yongyong Cai, Xuanxuan Zhou
Summary: In this paper, a class of uniformly accurate nested Picard iterative integrator (NPI) Fourier pseudospectral methods is proposed for the numerical calculation of the nonlinear Klein-Gordon equation (NLKG) in the nonrelativistic regime. The NPI methods can derive arbitrary higher-order methods in time and rigorously analyze the corresponding error estimates. Numerical examples are provided to show the accuracy and efficiency of the proposed schemes.
JOURNAL OF SCIENTIFIC COMPUTING
(2022)
Article
Physics, Particles & Fields
Robert Konik, Marton Lajer, Giuseppe Mussardo
Summary: In studying the sinh-Gordon model, the truncated spectrum methods (TSMs) encounter difficulties when the basic application breaks down near the self-dual point b = 1 as the coupling constant varies.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Chemistry, Multidisciplinary
Stefano Liberati, Giovanni Tricella, Andrea Trombettoni
APPLIED SCIENCES-BASEL
(2020)
Article
Physics, Multidisciplinary
Haiyuan Zou, Yi Cui, Xiao Wang, Z. Zhang, J. Yang, G. Xu, A. Okutani, M. Hagiwara, M. Matsuda, G. Wang, Giuseppe Mussardo, K. Hodsagi, M. Kormos, Zhangzhen He, S. Kimura, Rong Yu, Weiqiang Yu, Jie Ma, Jianda Wu
Summary: The study presents V-51 NMR and inelastic neutron scattering (INS) measurements on the quasi-1D antiferromagnet BaCo2V2O8 under transverse field. It reveals a 1D quantum critical point (QCP) at H-c(1D) approximately 4.7 T and provides an unambiguous experimental realization of the massive E-8 phase in the compound. The results offer a new experimental route for exploring the dynamics of quantum integrable systems and physics beyond integrability.
PHYSICAL REVIEW LETTERS
(2021)
Article
Physics, Multidisciplinary
Gianluca Lagnese, Federica Maria Surace, Marton Kormos, Pasquale Calabrese
Summary: We investigated the quantum quench dynamics of a Heisenberg-Ising spin ladder model and observed that the confinement caused by internal interactions has a significant impact on the correlation function's light cone structure, allowing for measurements of the velocities and masses of the mesons.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2022)
Article
Astronomy & Astrophysics
M. Lencses, G. Mussardo, G. Takacs
Summary: This study investigates the effects of leading and sub-leading magnetic perturbations on the thermal E7 integrable deformation of the tricritical Ising model, revealing the confinement of excitations in different phases and analyzing the meson spectrum using semiclassical quantization with two different types of excitations.
Article
Physics, Particles & Fields
Mate Lencses, Alessio Miscioscia, Giuseppe Mussardo, Gabor Takacs
Summary: In this paper, we investigate the non-unitary deformations of the two-dimensional Tricritical Ising Model by coupling its two spin Z(2) odd operators to imaginary magnetic fields. By varying the strengths of these imaginary magnetic fields and adjusting the coupling constants of the two spin Z(2) even fields accordingly, we identify two universality classes of infrared fixed points on the critical surface. We argue that these classes are controlled by the non-unitary minimal models M(2, 5) and M(2, 7) respectively, supported by considerations based on PT symmetry and the extension of Zamolodchikov's c-theorem, and verified numerically using the truncated conformal space approach. Our results are consistent with a previous numerical study of the lattice version of the Tricritical Ising Model [1]. We also conjecture the universality classes corresponding to higher non-unitary multicritical points obtained by perturbing the conformal unitary models with imaginary coupling magnetic fields.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Physics, Particles & Fields
Mate Lencses, Alessio Miscioscia, Giuseppe Mussardo, Gabor Takacs
Summary: This study investigates a novel class of Renormalization Group flows that connect multicritical versions of the two-dimensional Yang-Lee edge singularity in conformal minimal models M(2, 2n + 3). The absence of an order parameter in these models implies that the flows towards and between Yang-Lee edge singularities are related to the spontaneous breaking of PT symmetry. This study also finds that the pattern of flows in the space of PT symmetric theories is consistent with the c-theorem and the counting of relevant directions.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Materials Science, Multidisciplinary
M. Kormos, D. Voros, G. Zarand
Summary: In this study, we investigate the dynamics of nonintegrable systems belonging to the sine-Gordon family at finite temperature and obtain universal results for the long-time behavior of dynamical correlation functions and the full counting statistics of the topological current.
Article
Materials Science, Multidisciplinary
Jiahao Yang, Weishi Yuan, Takashi Imai, Qimiao Si, Jianda Wu, Marton Kormos
Summary: Considerable recent progress has been made in identifying candidate materials for the transverse-field Ising chain (TFIC), a paradigmatic model for quantum criticality. In this study, we investigate the local spin dynamical structure factor of different spin components in the quantum disordered region of the TFIC. Our findings reveal surprising temperature dependencies in the low-frequency local dynamics of spins in the Ising and transverse-field directions.
Article
Astronomy & Astrophysics
M. Lencses, G. Mussardo, G. Takacs
Summary: In this study, we investigated the decay of false vacuum in scaling Ising and tricritical Ising field theories using the truncated conformal space approach. We compared our numerical results with theoretical predictions in the thin wall limit. The Ising case confirmed previous studies but with a discrepancy in the overall coefficient. The tricritical Ising model allowed us to explore more exotic vacuum degeneracy structures and investigate novel scenarios of false vacuum decay by lifting the vacuum degeneracy using different perturbations.
Article
Materials Science, Multidisciplinary
Andras Grabarits, Marton Kormos, Izabella Lovas, Gergely Zarand
Summary: In this study, we investigated the typical distribution of quantum work at finite temperature. We found that for small work, the distribution follows a Gaussian distribution and the variance is proportional to the average work. However, at low temperature or for large work, a non-Gaussian distribution with superdiffusive work fluctuations is observed. Additionally, the time dependence of the probability of adiabaticity transitions from an exponential to a stretched exponential behavior. For large average work, the distribution becomes universal, dependent only on temperature and mean work. Our findings suggest that work statistics can be described by a Markovian energy-space diffusion process, starting from a thermal initial state. The validity of our results can be verified through measurements on nanoscale circuits or single qubit interferometry.
Article
Optics
G. Mussardo, J. Viti
Summary: This paper investigates the properties of bipartite entanglement entropy in the limit of a one-dimensional system and shows that the limit is finite. Additionally, for fermions, the limit of bipartite entanglement entropy coincides with Shannon entropy.
Article
Materials Science, Multidisciplinary
Gianluca Lagnese, Federica Maria Surace, Marton Kormos, Pasquale Calabrese
Summary: False vacuum decay, an important topic in physics, can be studied using current optical experiments to simulate particle confinement and understand the rapid evolution of false vacuum. Research shows that the decay rate of false vacuum decreases exponentially as the longitudinal field changes.
Article
Materials Science, Multidisciplinary
Xiao Wang, Haiyuan Zou, Kristof Hodsagi, Marton Kormos, Gabor Takacs, Jianda Wu
Summary: By studying the perturbed quantum critical Ising chain, it is found that two-particle channels exhibit edge singularities at the total mass threshold, while particles with equal masses do not show this singularity. As a result, the dynamic structure factor displays distinct singular features in the continuum region.
Article
Optics
A. Colcelli, G. Mussardo, G. Sierra, A. Trombettoni
