Article
Astronomy & Astrophysics
Ting Zhang, Ya-Bo Wu, Guang-Zhi Xu, Cheng-Yuan Zhang
Summary: In this work, a holographic antiferromagnetism model is constructed in the four-dimensional Lifshitz black hole by introducing two real antisymmetric tensor fields coupling to the background gauge field strength and interacting with each other. The effects of Lifshitz dynamical exponent z on the paramagnetism-antiferromagnetism phase transition are investigated. It is found that there is still a phase transition in asymptotically Lifshitz space-time in the probe limit. The critical temperature and staggered magnetization decrease with increasing z, making the phase transition harder to occur. The presence of an external magnetic field results in a peak in magnetic susceptibility at the critical temperature, and increasing values of z enhance the peak. In the case of a strong external magnetic field, a critical magnetic field B-c exists in the antiferromagnetic phase, where the system transitions to the paramagnetic phase. Moreover, increasing z leads to an increase in B-c.
Article
Multidisciplinary Sciences
Carolina A. Marques, Luke C. Rhodes, Izidor Benedicic, Masahiro Naritsuka, Aaron B. Naden, Zhiwei Li, Alexander C. Komarek, Andrew P. Mackenzie, Peter Wahl
Summary: The phenomenon and radical changes observed in material properties during a quantum phase transition have attracted significant attention in condensed matter research in recent decades. Strong electronic correlations give rise to exotic electronic ground states, such as magnetic order, nematicity, and unconventional superconductivity. A detailed understanding of the electronic structure near the Fermi energy is necessary to provide a microscopic model for these phenomena and achieve a complete understanding of the physics of the quantum critical point.
Article
Physics, Multidisciplinary
Jiarui Zhao, Yan-Cheng Wang, Zheng Yan, Meng Cheng, Zi Yang Meng
Summary: We develop a nonequilibrium increment method to calculate the Renyi entanglement entropy and study its scaling behavior at the deconfined critical point through large-scale quantum Monte Carlo simulations. Our results reveal fundamental differences between deconfined quantum critical points and quantum critical points described by unitary conformal field theories, as the corner correction exponent in the former case is found to be negative, in contrast to the positivity condition of the Renyi entanglement entropy.
PHYSICAL REVIEW LETTERS
(2022)
Article
Astronomy & Astrophysics
Ankur Srivastav, Sunandan Gangopadhyay
Summary: We have extended our previous work on rotating holographic superfluids to include Lifshitz scaling, which breaks relativistic invariance and indicates the existence of a Lifshitz fixed point. We analytically showed that we still obtain the same vortex solutions as before. However, for z ≠ 1, our study revealed surprising results regarding dissipation in the holographic superfluid, showing that higher winding number vortices increase with higher imaginary chemical potential in the open interval (1, 2).
Article
Materials Science, Multidisciplinary
Yan-Cheng Wang, Meng Cheng, Zi Yang Meng
Summary: The study focuses on the characteristics of disorder operators across a continuous quantum phase transition in (2 + 1)d, specifically at a conformally invariant critical point with U(1) symmetry. It shows analytically the power-law scaling behavior of the disorder operator with a small U(1) rotation angle defined on a rectangle region, and confirms the presence of universal corner correction through systematic computational and numerical simulations. The exponent of the corner term determined from simulations aligns well with the analytical predictions.
Article
Physics, Multidisciplinary
Yan-Cheng Wang, Nvsen Ma, Meng Cheng, Zi Yang Meng
Summary: We study the scaling behavior of the disorder parameter at the deconfined quantum critical point in the J-Q(3) model in (2+1)d using large-scale quantum Monte Carlo simulations. We find that the disorder parameter for U(1) spin rotation symmetry exhibits perimeter scaling with a logarithmic correction associated with sharp corners of the region, as expected for a conformally-invariant critical point. However, for large rotation angle, the universal coefficient of the logarithmic corner correction becomes negative, which is not allowed in any unitary conformal field theory. We also determine the current central charge from the small rotation angle scaling, which is much smaller than that of the free theory.
Article
Astronomy & Astrophysics
Naritaka Oshita, Niayesh Afshordi, Shinji Mukohyama
Summary: This study investigates the ringdown waveform and reflectivity of a Lifshitz scalar field around a fixed Schwarzschild black hole, finding that Lifshitz waves scattered by the black hole exhibit superradiance due to Lorentz breaking terms leading to superluminal propagation. This can allow Lifshitz waves to carry additional positive energy to infinity while leaving negative energy inside the Killing horizon, similar to the Penrose process in Kerr spacetime. The study also observes the emergence of long-lived quasinormal modes and drastic modifications to the greybody factor of a microscopic black hole with Hawking temperature comparable to the Lifshitz energy scale.
JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS
(2021)
Article
Physics, Particles & Fields
Marcelo Botta Cantcheff
Summary: We derive a prescription to compute the expansion of states describing spacetimes with general spatial topology in arbitrary dimension, which coincides with the Schmidt decomposition for large N. The coefficients of the expansion are given by n-point correlation functions on a specific Euclidean geometry. We show that this applies to all spacetimes that admit a Hartle-Hawking type of wave functional and can be mapped to CFT states defined on the asymptotic boundary through a standard hypothesis on the spatial topology. It is also observed that these states exhibit quantum coherence properties. By applying this as holographic engineering, one can construct an emergent space geometry with a predetermined topology by preparing an entangled state of the dual quantum system. As an example, we calculate the expansion and characterize a spacetime with an initial spatial topology of a genus one handlebody.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Mechanics
Juanfernando Angel-Ramelli
Summary: In this study, the entanglement entropy of certain excited states of the quantum Lifshitz model (QLM) was calculated. The excited state entanglement entropy obeys an area law and is related to the entanglement entropy of the ground state by two universal constants, showing a logarithmic dependence on the excitation number when all excitations are put onto the same eigenmode.
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
(2021)
Article
Physics, Particles & Fields
Sunly Khimphun, Bum-Hoon Lee, Gansukh Tumurtushaa
Summary: This study investigates four-dimensional cosmological models on the boundary of a five-dimensional Anti-de Sitter black hole, deriving modified Friedmann equations and discussing cosmological implications using Eddington-Finkelstein coordinates and AdS/CFT correspondence. The research analyzes the late-time acceleration of the universe, treating contributions from the bulk side as dark energy source, and conducting MCMC analyses with observational data, showing that the models can explain observational data as reliable as the ACDM model.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Astronomy & Astrophysics
B. Binaei Ghotbabadi, A. Sheykhi, G. H. Bordbar
Summary: This study investigates the effects of Lifshitz dynamical exponent z on paramagnetic-ferromagnetic phase transition in Lifshitz spacetime, using numerical methods in the probe limit. Results show that critical temperature decreases with increasing power parameter q and dynamical exponent z, and the formation of magnetic moment is harder without an external magnetic field. The magnetic susceptibility satisfies the Curie-Weiss law in the presence of an external magnetic field.
GENERAL RELATIVITY AND GRAVITATION
(2021)
Article
Physics, Multidisciplinary
Thimo Preis, Michal P. Heller, Juergen Berges
Summary: We examine the perturbations dynamics around nonthermal fixed points in quantum many-body systems far from equilibrium. Stability scaling exponents are obtained for an N-component scalar quantum field theory in 3 + 1 space-time dimensions using a self-consistent large-N expansion up to the next-to-leading order. Our analysis uncovers the existence of both stable and unstable perturbations, with the latter resulting in quasiexponential deviations from the fixed point in the infrared. By computing the spectral function, we identify a series of far-from-equilibrium quasiparticle states and their dispersion relations. Utilizing linear response theory, we demonstrate that unstable dynamics arises from a competition between elastic scattering processes among the quasiparticle states. The fixed point's dynamical attractiveness ultimately stems from a scaling instability, which is the universal scaling of the unstable regime towards the infrared due to a self-similar quasiparticle cascade. Our findings offer a first-principles understanding of emergent stability properties in self-organized scaling phenomena.
PHYSICAL REVIEW LETTERS
(2023)
Article
Materials Science, Multidisciplinary
Jonas F. Karcher, Ilya A. Gruzberg, Alexander D. Mirlin
Summary: This study extends the analysis of generalized multifractality of critical eigenstates in two-dimensional disordered superconductors and develops a mapping to classical percolation for certain observables. Exact analytical results for the corresponding exponents and a general construction of positive pure-scaling eigenfunction observables are presented. The results show that the generalized parabolicity does not hold for the spectrum of generalized-multifractality exponents, excluding certain theories as candidates for the fixed-point theory of the spin quantum Hall transition.
Article
Physics, Particles & Fields
Harriet Apel, Tamara Kohler, Toby Cubitt
Summary: The AdS/CFT correspondence realizes the holographic principle, and toy models in the form of HQECC have replicated some interesting features of the correspondence. In this work, new HQECCs constructed from random stabilizer tensors are described, which exhibit a duality between models encompassing local Hamiltonians and precisely follow the Ryu-Takayanagi entropy formula for all boundary regions. Complementary recovery of local bulk operators for any boundary bipartition is also achieved. These mathematically rigorous toy models capture multiple features of AdS/CFT simultaneously, advancing further towards a complete construction of holographic duality.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Sergio Hernandez-Cuenca, Veronika E. Hubeny, Massimiliano Rota
Summary: This article investigates the relations between entanglement entropies for a holographic CFT boundary spacetime and proposes a reconstruction method of the holographic entropy cone. By studying graph models of holographic entanglement and extreme rays of the subadditivity cone, it is discovered that the reconstruction of the holographic entropy cone can be achieved with simple data.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
