Article
Physics, Multidisciplinary
Giulia Piccitto, Michele Campisi, Davide Rossini
Summary: We study a four-stroke Otto engine with a quantum Ising chain as the working fluid. The thermodynamic cycle consists of sweeps of the transverse magnetic field and thermalisation strokes with reservoirs at different temperatures. The system-environment coupling is modelled using a nonlocal Lindblad master equation. We find that the engine can operate in four different modes and exhibit enhanced thermodynamic performance near the critical point.
NEW JOURNAL OF PHYSICS
(2022)
Article
Physics, Multidisciplinary
Yueshui Zhang, Anton Hulsch, Hua-Chen Zhang, Wei Tang, Lei Wang, Hong-Hao Tu
Summary: We demonstrate that the Klein bottle entropy in conformal field theories perturbed by relevant operators is a universal function of the dimensionless coupling constant. This universal scaling of the Klein bottle entropy near criticality can be used to efficiently determine the scaling dimension of lattice operators through data collapse. By employing numerical simulations with the continuous matrix product operator approach, we validate the universal scaling of the Klein bottle entropy for Ising and Z3 parafermion conformal field theories with various perturbations.
PHYSICAL REVIEW LETTERS
(2023)
Article
Physics, Multidisciplinary
Ananda Roy, Hubert Saleur
Summary: Entanglement entropy (EE) contains signatures of many universal properties of conformal field theories (CFTs), especially in the presence of boundaries or defects. This study presents an ab initio analysis of EE for the Ising model with a topological defect, revealing important finite-size corrections due to zero-energy modes.
PHYSICAL REVIEW LETTERS
(2022)
Article
Mechanics
Sanja Janicevic, Dragica Knezevic, Svetislav Mijatovic, Djordje Spasojevic
Summary: The study reveals different scaling behaviors of the RFIM model in various disorder domains, including a transitional domain with different types of spanning avalanches. Through extensive simulations, modified values of RFIM critical exponents and universal scaling functions were proposed.
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
(2021)
Article
Physics, Multidisciplinary
Attilio L. Stella, Aleksei Chechkin, Gianluca Teza
Summary: This passage discusses the occurrence of anomalous diffusion phenomena across different length scales, and introduces a specific form of decay related to the probability density function. It also explains the implications of this decay on the normalized cumulant generator, and provides examples related to second-order phase transition singularities in continuous time random walks. In the case of bias, scaling is limited to displacements in the drift direction, and there is no equilibrium analogue for the singularities.
PHYSICAL REVIEW LETTERS
(2023)
Article
Physics, Fluids & Plasmas
Nikolaos G. Fytas, Victor Martin-Mayor, Giorgio Parisi, Marco Picco, Nicolas Sourlas
Summary: This article investigates the problem of finite-size scaling above the upper critical dimension for disordered systems. The results confirm the successful application of a modified version of finite-size scaling in the context of the random-field problem.
Article
Mathematics
Michael Aizenman, Hugo Duminil-Copin
Summary: This study demonstrates the Gaussian distribution of spin fluctuations in four-dimensional Ising-type models and lambda phi(4) fields with lattice ultraviolet cutoff under certain conditions. The key lies in utilizing the random current representation of the models and improving the tree diagram bound through multi-scale analysis with a logarithmic correction term.
ANNALS OF MATHEMATICS
(2021)
Article
Optics
Xiaoyang Wang, Xu Feng, Tobias Hartung, Karl Jansen, Paolo Stornati
Summary: This paper introduces the simulation of the critical behavior of the Ising model using quantum computing techniques. The thermal state is prepared using the variational quantum imaginary time evolution (QITE) algorithm. By calculating the specific heat and susceptibility, indications of the Ising criticality are observed on a small lattice size. The results obtained by the quantum algorithm are consistent with those from exact diagonalization.
Article
Physics, Nuclear
Xiaobing Li, Mingmei Xu, Yanhua Zhang, Zhiming Li, Yu Zhou, Jinghua Fu, Yuanfang Wu
Summary: This study investigates the influence of nonequilibrium evolution in relativistic heavy ion collisions using the three-dimensional Ising model and Metropolis algorithm. The findings provide insights into experimentally determining the critical point and phase boundary in quantum chromodynamics.
Article
Materials Science, Multidisciplinary
Y. P. Ren, Z. J. Zhao, X. Yang, G. H. Wang, Y. D. Leng, G. J. Gao, X. M. Liu
Summary: In this work, we evaluate the quantum Fisher information (QFI) of a two-qubit reduced state in the Ising-XXZ diamond structure at finite temperatures and demonstrate its capability in characterizing quantum criticality and quantum phase transitions.
RESULTS IN PHYSICS
(2022)
Article
Chemistry, Physical
Supraja S. Chittari, Zhiyue Lu
Summary: Complex and non-monotonic responses to external control can be found in thermodynamic systems, and nonequilibrium shortcuts can rapidly drive the system from an initial state to a desired final state. A geometric analysis of such shortcuts in the probability distribution space is provided, identifying the conditions for their existence and shedding light on the features of a system that can lead to shortcuts.
JOURNAL OF CHEMICAL PHYSICS
(2023)
Article
Physics, Fluids & Plasmas
Damien Paul Foster, Debjyoti Majumdar
Summary: This study focuses on the critical behavior of lattice models of polymers with monomers carrying a magnetic moment, showing a first-order character of both magnetic transition and polymer collapse in three dimensions, while a continuous transition is observed in two dimensions. Finite-size scaling is used to estimate critical exponents and transition temperature in the absence of an external magnetic field.
Article
Optics
Troy J. Sewell, Ning Bao, Stephen P. Jordan
Summary: We investigate the use of deep multiscale entanglement renormalization ansatz (DMERA) circuits as a variational ansatz for the one-dimensional critical transverse-field Ising model. By simulating quantum circuit ansatz using classical algorithms for simulating matchgate circuits, we find that DMERA outperforms QAOA-style ansatz and the systematic error in correlation functions approximated using DMERA is mainly due to the breaking of symmetries in the transverse-field Ising model. Symmetry averaging can reduce this error significantly without increasing the cost in qubits or circuit depth. This technique could be applicable to NISQ simulations of physical systems with other symmetries.
Article
Physics, Multidisciplinary
Anja Langheld, Jan Alexander Koziol, Patrick Adelhardt, Sebastian Kapfer, Kai P. Schmidt
Summary: This article presents the breakdown of hyperscaling relation and standard finite-size scaling above the upper critical dimension due to dangerous irrelevant variables. A coherent formalism for finite-size scaling at quantum phase transitions is established, which recovers a generalized hyperscaling relation and FSS form. The full set of critical exponents for the long-range transverse-field Ising chain in different criticality regimes is determined using this new FSS formalism.
Article
Physics, Multidisciplinary
Anja Langheld, Jan Alexander Koziol, Patrick Adelhardt, Sebastian C. Kapfer, Kai Phillip Schmidt
Summary: This study establishes a coherent formalism for FSS at quantum phase transitions above the upper critical dimension and recovers a generalized hyperscaling relation and FSS form. It also reveals the impact of dangerous irrelevant variables on the correlation sector.
Article
Materials Science, Multidisciplinary
Sthitadhi Roy, Michael Kolodrubetz, Nathan Goldman, Adolfo G. Grushin
Editorial Material
Multidisciplinary Sciences
Michael Kolodrubetz
Article
Physics, Multidisciplinary
Michael J. Gullans, David A. Huse
Article
Physics, Multidisciplinary
Nathan Ng, Michael Kolodrubetz
PHYSICAL REVIEW LETTERS
(2019)
Article
Physics, Multidisciplinary
Michael J. Gullans, David A. Huse
PHYSICAL REVIEW LETTERS
(2019)
Article
Physics, Multidisciplinary
Elmer Guardado-Sanchez, Alan Morningstar, Benjamin M. Spar, Peter T. Brown, David A. Huse, Waseem S. Bakr
Article
Physics, Multidisciplinary
Frederik Nathan, Rongchun Ge, Snir Gazit, Mark Rudner, Michael Kolodrubetz
Summary: The study investigates a disordered one-dimensional fermionic system driven by two incommensurate frequencies, showing the support of a topological phase where energy transfers between the two driving modes at a quantized rate. The phase is protected by a combination of disorder-induced spatial and frequency localizations unique to quasiperiodically driven systems. It is demonstrated that a similar phase can be realized in a cavity-qubit system driven by two incommensurate modes.
PHYSICAL REVIEW LETTERS
(2021)
Article
Physics, Multidisciplinary
Christopher Timms, Lukas M. Sieberer, Michael H. Kolodrubetz
Summary: The study examines the response of the anomalous Floquet insulator to time-dependent noise, finding that the system's topological properties remain quantized even in the presence of noise, attributed to an interplay between diffusion and blocking of edge state decay. The boundaries of the topological phase are determined numerically with spatial disorder and analytically in the limit of vanishing disorder, suggesting an interpretation of the system as a non-Hermitian Floquet topological phase.
PHYSICAL REVIEW LETTERS
(2021)
Article
Materials Science, Multidisciplinary
Saeed Rahmanian Koshkaki, Michael H. Kolodrubetz
Summary: This paper studies energy-dependent localization in the disordered Ising model with global coupling to a d-level system. The authors discover an inverted mobility edge where high-energy states are localized and low-energy states are delocalized. They also discuss the critical energy of the localization phase transition and the existence of a reentrant many-body localization phase at lower energies.
Article
Materials Science, Multidisciplinary
Rong-Chun Ge, Michael Kolodrubetz
Summary: The goal is to realize novel phases of matter with topological order using superconducting circuits and other artificial quantum systems. By creating nearly flat topological bands on small lattices, it is possible to observe fingerprints of fractionalization through charge pumping with as few as 24 lattice sites. The proposal suggests using a finite lattice of superconducting qubits with cylindrical connectivity on triangular and square lattices to implement the concept.
Article
Materials Science, Multidisciplinary
Nathan Ng, Sebastian Wenderoth, Rajagopala Reddy Seelam, Eran Rabani, Hans-Dieter Meyer, Michael Thoss, Michael Kolodrubetz
Summary: This study investigates the dynamics of systems coupling a central degree of freedom with a bath, revealing a well-defined thermodynamic limit and scaling collapse behavior in the central qubit and spin system. The growth of entanglement at longer timescales may be attributed to dephasing mechanisms or long-range interactions mediated by the central degree of freedom. Signs of localization are also observed with unscaled system-bath coupling.
Article
Materials Science, Multidisciplinary
Aidan Zabalo, Michael J. Gullans, Justin H. Wilson, Sarang Gopalakrishnan, David A. Huse, J. H. Pixley
Article
Materials Science, Multidisciplinary
Alan Morningstar, David A. Huse
Article
Materials Science, Multidisciplinary
Sarang Gopalakrishnan, David A. Huse
Article
Materials Science, Multidisciplinary
Jan Behrends, Sthitadhi Roy, Michael H. Kolodrubetz, Jens H. Bardarson, Adolfo G. Grushin