Confinement and String Breaking for<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi>QED</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>in the Hamiltonian Picture

Buyens, Boye; Haegeman, Jutho; Verschelde, Henri; Verstraete, Frank; Acoleyen, Karel Van

doi:10.1103/physrevx.6.041040

Cited by 79 publications

(121 citation statements)

References 114 publications

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“…In [64] we found that the string tension σ α , see fig. 15a, interpolates smoothly between the behavior in the strong-coupling limit for small values of m/g and the weak-coupling limit for large values of m/g.…”

Section: Resultsmentioning

confidence: 84%

“…(9) and (11), depends on a finite number of parameters. Similar as in [64] we block site 2n − 1 and 2n into one effective site n. Hence, the MPS ansatz for the ground state reads:…”

Section: Gauge Invariant Mpsmentioning

confidence: 99%

“…This nomenclature stems from the investigation of confinement where σ α indeed corresponds to the string tension (asymptotic force per unit of length) between an external quark-antiquark pair with charge α [36,64]. Finally, we will consider the energy of the excited states (with respect to the ground-state energy), obtained via the method in subsection II E. The energies are denoted by E 1,α , E 2,α , .…”

Section: From Mps To Field Expectation Valuesmentioning

confidence: 99%

“…Most of the ground-state properties have already been investigated in the context of confinement [64]. Therefore we present our results in Appendix A 3.…”

Section: Single Particle Spectrummentioning

confidence: 99%

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Finite-representation approximation of lattice gauge theories at the continuum limit with tensor networks

et al. 2017

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It has been established that Matrix Product States can be used to compute the ground state and single-particle excitations and their properties of lattice gauge theories at the continuum limit. However, by construction, in this formalism the Hilbert space of the gauge fields is truncated to a finite number of irreducible representations of the gauge group. We investigate quantitatively the influence of the truncation of the infinite number of representations in the Schwinger model, oneflavour QED2, with a uniform electric background field. We compute the two-site reduced density matrix of the ground state and the weight of each of the representations. We find that this weight decays exponentially with the quadratic Casimir invariant of the representation which justifies the approach of truncating the Hilbert space of the gauge fields. Finally, we compute the single-particle spectrum of the model as a function of the electric background field.

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Section: Resultsmentioning

confidence: 84%

“…(9) and (11), depends on a finite number of parameters. Similar as in [64] we block site 2n − 1 and 2n into one effective site n. Hence, the MPS ansatz for the ground state reads:…”

Section: Gauge Invariant Mpsmentioning

confidence: 99%

Section: From Mps To Field Expectation Valuesmentioning

confidence: 99%

“…Most of the ground-state properties have already been investigated in the context of confinement [64]. Therefore we present our results in Appendix A 3.…”

Section: Single Particle Spectrummentioning

confidence: 99%

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Finite-representation approximation of lattice gauge theories at the continuum limit with tensor networks

et al. 2017

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“…In the last years, methods based on tensor networks, such as matrix product states (MPS), have revealed themselves as valid candidates to explore the Hamiltonian formulation of LGT. Tensor networks, originally developed in the realm of quantum information theory, do not suffer from the sign problem and during the last years they have already been successfully applied to LGT problems and have demonstrated their power for mass spectra [5,6,7], thermal states [8,9,10] and phase diagrams [11] as well as for simulating dynamical problems for both Abelian and non-Abelian gauge theories [6,12]. Recently, we used MPS to compute the phase structure of the two-flavor Schwinger model with finite chemical potential [13] and performed a lattice calculation, with full extrapolation procedure until the proper continuum limit, in a regime where the sign problem occurs.…”

Section: Introductionmentioning

confidence: 99%

The multi-flavor Schwinger model with chemical potential - Overcoming the sign problem with Matrix Product States

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et al. 2017

Proceedings of 34th Annual International Symposium on Lattice Field Theory — PoS(LATTICE2016)

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During recent years there has been an increasing interest in the application of matrix product states, and more generally tensor networks, to lattice gauge theories. This non-perturbative method is sign problem free and has already been successfully used to compute mass spectra, thermal states and phase diagrams, as well as real-time dynamics for Abelian and non-Abelian gauge models. In previous work we showed the suitability of the method to explore the zerotemperature phase structure of the multi-flavor Schwinger model at finite chemical potential, a regime where the conventional Monte Carlo approach suffers from the sign problem. Here we extend our numerical study by looking at the spatially resolved chiral condensate in the massless case. We recover spatial oscillations, similar to the theoretical predictions for the single-flavor case, with a chemical potential dependent frequency and an amplitude approximately given by the homogeneous zero density condensate value. 34th annual International Symposium on Lattice Field Theory

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Quantum Computers as Universal Quantum Simulators: State‐of‐the‐Art and Perspectives

et al. 2019

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The past few years have witnessed the concrete and fast spreading of quantum technologies for practical computation and simulation. In particular, quantum computing platforms based on either trapped ions or superconducting qubits have become available for simulations and benchmarking, with up to few tens of qubits that can be reliably initialized, controlled, and measured. The present Review aims at giving a comprehensive outlook on the state‐of‐the‐art capabilities offered from these near‐term noisy devices as universal quantum simulators, that is, programmable quantum computers potentially able to calculate the time evolution of many physical models. First, a pedagogic overview on the basic theoretical background pertaining digital quantum simulations is given, with a focus on hardware‐dependent mapping of spin‐type Hamiltonians into the corresponding quantum circuit as a key initial step toward simulating more complex models. Then, the main experimental achievements obtained in the last decade are reviewed, focusing on the digital quantum simulation of such spin models by employing two leading quantum architectures. Their performances are compared, and future challenges are outlined, also in view of prospective hybrid technologies, towards the ultimate goal of reaching the long‐sought quantum advantage for the simulation of complex many‐body models in the physical sciences.

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Confinement and String Breaking forQED2in the Hamiltonian Picture

Cited by 79 publications

References 114 publications

Finite-representation approximation of lattice gauge theories at the continuum limit with tensor networks

Finite-representation approximation of lattice gauge theories at the continuum limit with tensor networks

The multi-flavor Schwinger model with chemical potential - Overcoming the sign problem with Matrix Product States

Quantum Computers as Universal Quantum Simulators: State‐of‐the‐Art and Perspectives

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