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Author(s): Wen-Hao Zhang, Geng Chen, Xing-Xiang Peng, Xiang-Jun Ye, Peng Yin, Ya Xiao, Zhi-Bo Hou, Ze-Di Cheng, Yu-Chun Wu, Jin-Shi Xu, Chuan-Feng Li, and Guang-Can Guo
Self-testing is a method with which a classical user can certify the state and measurements of quantum systems in a device-independent way. In particular, self-testing of entangled states is of great importance in quantum information processing. An understandable example is that the maximal violatio...
[Phys. Rev. Lett. 121, 240402] Published Thu Dec 13, 2018

Author(s): Sushant Saryal, Juliane U. Klamser, Tridib Sadhu, and Deepak Dhar
There is a misconception, widely shared among physicists, that the equilibrium free energy of a one-dimensional classical model with strictly finite-ranged interactions, and at nonzero temperatures, cannot show any singularities as a function of the coupling constants. In this Letter, we discuss an ...
[Phys. Rev. Lett. 121, 240601] Published Thu Dec 13, 2018

The complex Langevin (CL) method sometimes shows convergence to the wrong limit, even though the
Schwinger–Dyson equations (SDE) are fulfilled. We analyze this problem in a more general context for
the case of one complex variable. We prove a theorem that shows that under rather general conditions
not only the equilibrium measure of CL but any linear functional satisfying the SDE on a space of
test functions is given by a linear combination of integrals along paths connecting the zeroes of

Several integrable semi-discretizations are known in the literature for the massive Thirring system
in characteristic coordinates. We present for the first time an integrable semi-discretization of
the massive Thirring system in laboratory coordinates. Our approach relies on the relation between
the continuous massive Thirring system and the Ablowitz–Ladik lattice. In particular, we derive the
Lax pair for the integrable semi-discretization of the massive Thirring system by combining together

For open systems subjected to external magnetic fields, relations between the statistical cumulants
of their fluctuating currents and their response coefficients are established at arbitrary orders in
the deviations from equilibrium, as a consequence of microreversibility. These relations are
systematically deduced from the extension of the fluctuation relation for this class of systems, and
analyzed by using methods developed in Barbier and Gaspard (2018 J. Phys. A: Math. Theor . 51

Flory–Huggins theory (Flory 1942 J. Chem. Phys . 10 51–61; Huggins 1942 J. Am. Chem. Soc . 64
2716–8) is a mean field theory for modelling the free energy of dense polymer solutions and polymer
melts. In this paper we use Flory–Huggins theory as a model of a dense two-dimensional self-avoiding
walk compressed in a square in the square lattice. The theory describes the free energy of the walk
well, and we estimate the Flory interaction parameter of the walk to be ##IMG##

Resonant systems emerge as weakly nonlinear approximations to problems with highly resonant
linearized perturbations. Examples include nonlinear Schrödinger equations in harmonic potentials
and nonlinear dynamics in anti-de Sitter spacetime. The classical dynamics within this class of
systems can be very rich, ranging from fully integrable to chaotic as one changes the values of the
mode coupling coefficients. Here, we initiate a study of quantum infinite-dimensional resonant

We study localized solutions for the nonlinear graph wave equation on finite arbitrary networks.
Assuming a large amplitude localized initial condition on one node of the graph, we approximate its
evolution by the Duffing equation. The rest of the network satisfies a linear system forced by the
excited node. This approximation is validated by reducing the nonlinear graph wave equation to the
discrete nonlinear Schrödinger equation and by Fourier analysis. Finally, we examine numerically the

Author(s): E. V. Kovlakov, S. S. Straupe, and S. P. Kulik
High-dimensional entanglement is a valuable resource for quantum communication, and photon pairs entangled in orbital angular momentum (OAM) are commonly used for encoding high-dimensional quantum states. However, methods for the preparation of maximally entangled states of arbitrary dimensionality ...
[Phys. Rev. A 98, 060301(R)] Published Wed Dec 12, 2018

Author(s): Shilong Liu, Zhiyuan Zhou, Shikai Liu, Yinhai Li, Yan Li, Chen Yang, Zhaohuai Xu, Zhaodi Liu, Guangcan Guo, and Baosen Shi
Maximally entangled photon pairs with a spatial degree of freedom is a potential way for realizing high-capacity quantum computing and communication. However, methods to generate such entangled states with high quality, high brightness, and good controllability are needed. Here, a scheme is experime...
[Phys. Rev. A 98, 062316] Published Wed Dec 12, 2018