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05.90.+p Quantum information & quantum field theory/particle physics

Continuous matrix product state tomography of quantum transport experiments

Mon, 2016-06-20 10:36 - Martin Kliesch
Date: 
2016-06-20
Author(s): 

G. Haack, A. Steffens, J. Eisert, R. Hübener

Reference: 

New J. Phys. 17, 113024 (2015)

URL: 

http://iopscience.iop.org/article/10.1088/1367-2630/17/11/113024/meta

In recent years, a close connection between the description of open quantum systems, the input-output formalism of quantum optics, and continuous matrix product states in quantum field theory has been established. So far, however, this connection has not been extended to the condensed-matter context.

Non-Abelian string breaking phenomena with Matrix Product States

Tue, 2015-05-26 21:34 - Gemma De las Cuevas
Date: 
2015-05-26
Author(s): 

Stefan Kühn, J. Ignacio Cirac, Mari Carmen Bañuls

Reference: 

arXiv:1505.04441

Using matrix product states, we explore numerically the phenomenology of string breaking in a non-Abelian lattice gauge theory, namely 1+1 dimensional SU(2).

Thermal evolution of the Schwinger model with Matrix Product Operators

Tue, 2015-05-26 21:25 - Gemma De las Cuevas
Date: 
2015-05-26
Author(s): 

M. C. Bañuls, K. Cichy, J. I. Cirac, K. Jansen, H. Saito

Reference: 

arXiv:1505.00279

We demonstrate the suitability of tensor network techniques for describing the thermal evolution of lattice gauge theories. As a benchmark case, we have studied the temperature dependence of the chiral condensate in the Schwinger model, using matrix product operators to approximate the thermal equilibrium states for finite system sizes with non-zero lattice spacings.

Quantum Simulations of Lattice Gauge Theories using Ultracold Atoms in Optical Lattices

Tue, 2015-05-26 21:17 - Gemma De las Cuevas
Date: 
2015-05-26
Author(s): 

Erez Zohar, J. Ignacio Cirac, Benni Reznik

Reference: 

arXiv:1503.02312

Can high energy physics can be simulated by low-energy, nonrelativistic, many-body systems, such as ultracold atoms?

The temperature dependence of the chiral condensate in the Schwinger model with Matrix Product States

Tue, 2015-05-26 20:54 - Gemma De las Cuevas
Date: 
2014-12-01
Author(s): 

H. Saito, Mari Carmen Bañuls, Krzysztof Cichy, J. Ignacio Cirac, Karl Jansen

Reference: 

PoS(LATTICE2014)302

We present our recent results for the tensor network (TN) approach to lattice gauge theories. TN methods provide an efficient approximation for quantum many-body states. We employ TN for one dimensional systems, Matrix Product States, to investigate the 1-flavour Schwinger model. In this study, we compute the chiral condensate at finite temperature.

Quantum simulation of the Schwinger model: A study of feasibility

Tue, 2015-05-26 20:23 - Gemma De las Cuevas
Date: 
2015-05-26
Author(s): 

Stefan Kühn, J. Ignacio Cirac, Mari-Carmen Bañuls

Reference: 

Phys. Rev. A 90, 042305 (2014)

We analyze some crucial questions regarding the practical feasibility of quantum simulation for lattice gauge models. Our analysis focuses on two different models suitable for the quantum simulation of the Schwinger Hamiltonian which we investigate numerically using Tensor Networks.

Lattice Gauge Tensor Networks

Thu, 2014-11-27 12:23 - Mattia Giardini
Date: 
2014-11-27
Author(s): 

P. Silvi, E. Rico, T. Calarco, S. Montangero

Reference: 

Journal reference: New J. Phys. 16 103015 (2014)
DOI: 10.1088/1367-2630/16/10/103015

URL: 

http://arxiv.org/abs/1404.7439

We present a unified framework to describe lattice gauge theories by means of tensor networks: this framework is efficient as it exploits the high amount of local symmetry content native of these systems describing only the gauge invariant subspace.

Towards experimental quantum field tomography with ultracold atoms

Thu, 2014-10-23 15:49 - Martin Kliesch
Date: 
2014-06-13 - 2014-10-23
Author(s): 

A. Steffens, M. Friesdorf, T. Langen, B. Rauer, T. Schweigler, R. Hübener, J. Schmiedmayer, C. A. Riofrío, J. Eisert

Reference: 

arXiv:1406.3632

URL: 

http://arxiv.org/abs/1406.3632

Quantum field tomography

Thu, 2014-10-23 15:47 - Martin Kliesch
Date: 
2014-06-13 - 2014-10-23
Author(s): 

A. Steffens, C. A. Riofrío, R. Hübener, J. Eisert

Reference: 

arXiv:1406.3631

URL: 

http://arxiv.org/abs/1406.3631

Quantum simulation of the Schwinger model: A study of feasibility

Wed, 2014-10-15 11:24 - Mari-Carmen Banuls
Date: 
2014-10-15
Author(s): 

Stefan Kühn, J. Ignacio Cirac, Mari-Carmen Bañuls

Reference: 

Phys. Rev. A 90, 042305 (2014)

URL: 

http://journals.aps.org/pra/abstract/10.1103/PhysRevA.90.042305

We analyze some crucial questions regarding the practical feasibility of quantum simulation for lattice gauge models. Our analysis focuses on two different models suitable for the quantum simulation of the Schwinger Hamiltonian which we investigate numerically using Tensor Networks. In particular we explore the effect of representing the gauge degrees of freedom with finite dimensional systems, and show that the results converge fast, thus even with small dimensions it is possible to obtain reasonable accuracy.

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