Gapless line for the anisotropic Heisenberg<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="normal">s</mml:mi><mml:mi mathvariant="normal">p</mml:mi><mml:mi mathvariant="normal">i</mml:mi><mml:mi mathvariant="normal">n</mml:mi><mml:mo>−</mml:mo><mml:mfrac><mml:mrow><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:mfrac></mml:math>chain in a magnetic field and the quantum axial next-nearest-neighbor Ising chain

Dutta, Amit; Sen, Diptiman

doi:10.1103/physrevb.67.094435

“…which boils down to the XXZ model in a transverse field [116][117][118][119][120][121][122]. This model is relevant, in particular, in the interesting physics of the Cs 2 CoCl 4 [123,124] or BaCo 2 V 2 O 8 [125] quantum magnets.…”

Section: B Phase Diagrammentioning

confidence: 98%

Towards Quantum Simulation with Circular Rydberg Atoms

Nguyen

¹

,

Raimond

²

,

Sayrin

³

et al. 2018

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The main objective of quantum simulation is an in-depth understanding of many-body physics, which is important for fundamental issues (quantum phase transitions, transport, …) and for the development of innovative materials. Analytic approaches to many-body systems are limited, and the huge size of their Hilbert space makes numerical simulations on classical computers intractable. A quantum simulator avoids these limitations by transcribing the system of interest into another, with the same dynamics but with interaction parameters under control and with experimental access to all relevant observables. Quantum simulation of spin systems is being explored with trapped ions, neutral atoms, and superconducting devices. We propose here a new paradigm for quantum simulation of spin-1=2 arrays, providing unprecedented flexibility and allowing one to explore domains beyond the reach of other platforms. It is based on laser-trapped circular Rydberg atoms. Their long intrinsic lifetimes, combined with the inhibition of their microwave spontaneous emission and their low sensitivity to collisions and photoionization, make trapping lifetimes in the minute range realistic with state-of-the-art techniques. Ultracold defect-free circular atom chains can be prepared by a variant of the evaporative cooling method. This method also leads to the detection of arbitrary spin observables with single-site resolution. The proposed simulator realizes an XXZ spin-1=2 Hamiltonian with nearest-neighbor couplings ranging from a few to tens of kilohertz. All the model parameters can be dynamically tuned at will, making a large range of simulations accessible. The system evolution can be followed over times in the range of seconds, long enough to be relevant for ground-state adiabatic preparation and for the study of thermalization, disorder, or Floquet time crystals. The proposed platform already presents unrivaled features for quantum simulation of regular spin chains. We discuss extensions towards more general quantum simulations of interacting spin systems with full control on individual interactions.

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“…In the case of classical spin chains this effect was already studied a decade ago [32]. However, in the case of a quantum antiferromagnetic X X Z chain this problem is still the subject of intense recent studies [32][33][34][35][36][37][38][39][40][41].…”

Section: Introductionmentioning

confidence: 99%

Spin ladder with anisotropic ferromagnetic legs in a transverse magnetic field

Japaridze

¹

,

Langari

²

,

Mahdavifar

³

2007

J. Phys.: Condens. Matter

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We have studied the ground-state phase diagram of a two-leg spin ladder with anisotropic ferromagnetic leg couplings under the influence of a symmetry-breaking transverse magnetic field by the exact diagonalization technique. In the case of antiferromagnetic coupling between legs we identified two phase transitions in the plane of magnetic field versus interchain coupling strength. The first corresponds to the transition from the gapped rung-singlet phase to the gapped stripe-ferromagnetic phase. The second represents the transition from the gapped stripe-ferromagnetic phase into the fully polarized ferromagnetic phase.

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“…which boils down to the XXZ model in a transverse field [116][117][118][119][120][121][122]. This model is relevant, in particular, in the interesting physics of the Cs 2 CoCl 4 [123,124]…”

Section: B Phase Diagrammentioning

confidence: 98%

Towards quantum simulations with circular Rydberg atoms

Nguyen

¹

,

Cantat-Moltrecht

²

,

Cortiñas

³

et al. 2017

2017 Conference on Lasers and Electro-Optics Europe &Amp; European Quantum Electronics Conference (CLEO/Europe-EQEC)

1

0

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The main objective of quantum simulation is an in-depth understanding of many-body physics, which is important for fundamental issues (quantum phase transitions, transport, …) and for the development of innovative materials. Analytic approaches to many-body systems are limited, and the huge size of their Hilbert space makes numerical simulations on classical computers intractable. A quantum simulator avoids these limitations by transcribing the system of interest into another, with the same dynamics but with interaction parameters under control and with experimental access to all relevant observables. Quantum simulation of spin systems is being explored with trapped ions, neutral atoms, and superconducting devices. We propose here a new paradigm for quantum simulation of spin-1=2 arrays, providing unprecedented flexibility and allowing one to explore domains beyond the reach of other platforms. It is based on laser-trapped circular Rydberg atoms. Their long intrinsic lifetimes, combined with the inhibition of their microwave spontaneous emission and their low sensitivity to collisions and photoionization, make trapping lifetimes in the minute range realistic with state-of-the-art techniques. Ultracold defect-free circular atom chains can be prepared by a variant of the evaporative cooling method. This method also leads to the detection of arbitrary spin observables with single-site resolution. The proposed simulator realizes an XXZ spin-1=2 Hamiltonian with nearest-neighbor couplings ranging from a few to tens of kilohertz. All the model parameters can be dynamically tuned at will, making a large range of simulations accessible. The system evolution can be followed over times in the range of seconds, long enough to be relevant for ground-state adiabatic preparation and for the study of thermalization, disorder, or Floquet time crystals. The proposed platform already presents unrivaled features for quantum simulation of regular spin chains. We discuss extensions towards more general quantum simulations of interacting spin systems with full control on individual interactions.

show abstract

Gapless line for the anisotropic Heisenbergspin−12chain in a magnetic field and the quantum axial next-nearest-neighbor Ising chain

Cited by 30 publications

References 26 publications

Towards Quantum Simulation with Circular Rydberg Atoms

Towards Quantum Simulation with Circular Rydberg Atoms

Spin ladder with anisotropic ferromagnetic legs in a transverse magnetic field

Towards quantum simulations with circular Rydberg atoms

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