Anyonic Liquids in Nearly Saturated Spin Chains

Rahmani, Armin; Feiguin, Adrian; Batista, Cristian D.

doi:10.1103/physrevlett.113.267201

Cited by 7 publications

(7 citation statements)

References 58 publications

(75 reference statements)

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“…In the followings, except for the discussions on criticality-enhance MCE in CN, this 3D model Eqs. (2,3) will not be involved, and we focus on the AHAFC model description in Eq. ( 1) exclusively.…”

Section: Inter-chain Couplings and 3d Heisenberg Spin Modelmentioning

confidence: 99%

“…Heisenberg spin chains and nets, owing to their strong quantum fluctuations and correlation effects, can accommodate plentiful interesting quantum phases like topological spin liquids [1,2], unconventional excitations like anyontype quasi particles [3], and inspiring behaviors like Bose-Einstain condensation in magnets [4], which continues stimulating both condensed matter theorists and experimentalists. What is more, these low-dimensional systems, which at a first glance are of purely academic interest, can actually have their experimental realizations.…”

Section: Introductionmentioning

confidence: 99%

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Criticality-Enhanced Magnetocaloric Effect in Quantum Spin Chain Material Copper Nitrate

Xiang

Chen

et al. 2017

Sci Rep

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In this work, a systematic study of Cu(NO3)2·2.5 H2O (copper nitrate hemipentahydrate, CN), an alternating Heisenberg antiferromagnetic chain model material, is performed with multi-technique approach including thermal tensor network (TTN) simulations, first-principles calculations, as well as magnetization measurements. Employing a cutting-edge TTN method developed in the present work, we verify the couplings J = 5.13 K, α = 0.23(1) and Landé factors g∥= 2.31, g⊥ = 2.14 in CN, with which the magnetothermal properties have been fitted strikingly well. Based on first-principles calculations, we reveal explicitly the spin chain scenario in CN by displaying the calculated electron density distributions, from which the distinct superexchange paths are visualized. On top of that, we investigated the magnetocaloric effect (MCE) in CN by calculating its isentropes and magnetic Grüneisen parameter. Prominent quantum criticality-enhanced MCE was uncovered near both critical fields of intermediate strengths as 2.87 and 4.08 T, respectively. We propose that CN is potentially a very promising quantum critical coolant.

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Section: Inter-chain Couplings and 3d Heisenberg Spin Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Criticality-Enhanced Magnetocaloric Effect in Quantum Spin Chain Material Copper Nitrate

Xiang

Chen

et al. 2017

Sci Rep

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“…Our results contain this previously unknown constant and are also valid for all values of the statistics parameter. Plots of the corelators for h = 2 and fixed t = 25 together with the expansions (70) and (71) are presented in Figs. 5 and 6.…”

Section: A Rhp For Dynamic Correlatorsmentioning

confidence: 99%

Correlation functions of one-dimensional strongly interacting two-component gases

Pâţu¹

2019

Phys. Rev. A

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We address the problem of calculating the correlation functions of one-dimensional two-component gases with strong repulsive contact interactions. The model considered in this paper describes particles with fractional statistics and in appropriate limits reduces to the Gaudin-Yang model or the spinor Bose gas. In the case of impenetrable particles we derive a Fredholm determinant representation for the temperature-, time-, and space-dependent correlation functions which is very easy to implement numerically and constitute the starting point for the analytical investigation of the asymptotics. Making use of this determinant representation and the solution of an associated Riemann-Hilbert problem we derive the low-energy asymptotics of the correlators in the spin-incoherent regime characterized by near ground-state charge degrees of freedom but a highly thermally disordered spin sector. The asymptotics present features reminiscent of spin-charge separation with the spin part exponentially decaying in space separation and oscillating with a period proportional to the statistics parameter while the charge part presents scaling with anomalous exponents which cannot be described by any unitary conformal field theory. The momentum distribution and the Fourier transform of the dynamical Green's function are asymmetrical for arbitrary statistics, a direct consequence of the broken space-reversal symmetry. Due to the exponential decay the momentum distribution n(k) at zero temperature does not present algebraic singularities but the tails obey the universal decay lim k→±∞ n(k) ∼ C/k 4 with the amplitude C given by Tan's contact. As a function of the statistics parameter the contact is a monotonic function reaching its minimum for the fermionic system and the maximum for the bosonic system.

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mentioning

confidence: 99%

“…-We have shown how to use the naturally occurring dipolar interactions in 3D superconducting circuits to realize a platform for analogue quantum simulation of XY spin models. The possibility of realizing arbitrary lattice geometries with locallytunable dipole moments, in combination with their large interaction strength, opens the door to the investigation of a series of phenomena in quantum magnetism in both 1D [37,38] and 2D [25], complementing the remarkable developments in cold atom and trapped ion systems [14][15][16]. Our ideas are not limited to Transmon qubits, but could be implemented with, e.g., Xmon qubits [6] or Fluxonium qubits coupled to an antenna [39].…”

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confidence: 99%

Realizing dipolar spin models with arrays of superconducting qubits

et al. 2015

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We propose a novel platform for quantum many body simulations of dipolar spin models using current circuit QED technology. Our basic building blocks are 3D Transmon qubits where we use the naturally occurring dipolar interactions to realize interacting spin systems. This opens the way toward the realization of a broad class of tunable spin models in both two-and onedimensional geometries. We illustrate the potential offered by these systems in the context of dimerized Majumdar-Ghosh-type phases, archetypical examples of quantum magnetism, showing how such phases are robust against disorder and decoherence, and could be observed within stateof-the-art experiments.PACS numbers: 03.67. Ac, 42.50.Dv, 75.10.Pq Introduction. -In the present work we propose and analyze a novel setup for an analog quantum simulator of quantum magnetism using superconducting qubits. The scheme builds on the remarkable recent developments in Circuit QED [1][2][3][4][5][6] in the context of quantum simulation [7][8][9][10][11], and especially the 3D Transmon qubit [12,13]. The scheme promises a faithful implementation of many-body spin-1/2 Hamiltonians involving tens of qubits using state-of-the-art experimental techniques. The central idea behind the present work is to exploit the naturally occurring dipolar interactions between qubits to engineer the desired spin-spin interactions. In combination with the flexibility offered by solid-state setups for realizing arbitrary geometry arrangements, this allows us to design general dipolar spin models in ladder and 2D geometries. As we will show, our scheme competes favorably with present and envisaged quantum simulation setups for magnetism with cold atoms and trapped ions [14][15][16], and enables us to address some of the key challenges of quantum simulation including equilibrium and non-equilibrium (quench) dynamics [17]. Moreover, we note that exploiting dipolar interactions to design dipolar spin models is conceptually different, and complementary to the remarkable recent experiments with superconducting circuits toward realizing the superfluid-Mott insulator transition, based on wiring up increasingly complex circuits of superconducting stripline cavities [7].In our analysis we address two of the key aspects of the design of our proposed simulator for quantum magnetism. First, we present a feasibility study of state-ofthe-art experimental setups: this includes a discussion of the general mechanism to generate dipolar interactions between 3D Transmons, combined with ab initio simulations of the coupling strength in our spin model for various geometries. Second, we illustrate how state-ofthe-art setups, composed of up to a dozen qubits and characterized by typical disorder and decoherence rates, are already able to demonstrate paradigmatic signatures of quantum magnetism. In particular, we show how a dimerized phase [18], a valence-bond-solid reminiscent of the Majumdar-Ghosh state widely discussed in the context of quantum spin chains [19], can be realized and probed with current techn...

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Anyonic Liquids in Nearly Saturated Spin Chains

Cited by 7 publications

References 58 publications

Criticality-Enhanced Magnetocaloric Effect in Quantum Spin Chain Material Copper Nitrate

Criticality-Enhanced Magnetocaloric Effect in Quantum Spin Chain Material Copper Nitrate

Correlation functions of one-dimensional strongly interacting two-component gases

Realizing dipolar spin models with arrays of superconducting qubits

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