Built on

N. Defenu, T. Enss, and J. C. Halimeh, Dynamical criticality and domain-wall coupling in long-range Hamiltonians, Phys. Rev. B 100
Original
1902
Earlier work this paper cites.
D. Zhu, S. Johri, N. M. Linke, K. A. Landsman, N. H. Nguyen, C. H. Alderete, A. Y. Matsuura, T. H. Hsieh, and C. Monroe, Generation of thermofield double states and critical ground states with a quantum computer, Proc. Nat. Acad. Sci. 117
Original
1906
Earlier work this paper cites.
Z. Davoudi, M. Hafezi, C. Monroe, G. Pagano, A. Seif, and A. Shaw, Towards analog quantum simulations of lattice gauge theories with trapped ions, Phys. Rev. Res. 2
Original
1908
Earlier work this paper cites.
T. Hashizume, J. C. Halimeh, and I. P. McCulloch, Hybrid infinite time-evolving block decimation algorithm for long-range multidimensional quantum many-body systems, Phys. Rev. B 102
Original
1910
Earlier work this paper cites.
A. Lerose, F. M. Surace, P. P. Mazza, G. Perfetto, M. Collura, and A. Gambassi, Quasilocalized dynamics from confinement of quantum excitations, Phys. Rev. B 102
Original
1911
Earlier work this paper cites.
R. Verdel, F. Liu, S. Whitsitt, A. V. Gorshkov, and M. Heyl, Real-time dynamics of string breaking in quantum spin chains, Phys. Rev. B 102
Original
1911
Earlier work this paper cites.
M. C. Bañuls et al. , Simulating Lattice Gauge Theories within Quantum Technologies, Eur. Phys. J. D 74
Original
1911
Earlier work this paper cites.
Y. Alexeev et al. , Quantum Computer Systems for Scientific Discovery, P. R. X. Quantum. 2
Original
1912
Earlier work this paper cites.
M. C. Banuls, M. P. Heller, K. Jansen, J. Knaute, and V. Svensson, From spin chains to real-time thermal field theory using tensor networks, Phys. Rev. Res. 2
Original
1912
Earlier work this paper cites.
W. L. Tan et al. , Domain-wall confinement and dynamics in a quantum simulator, Nature Phys. 17
Original
1912
Earlier work this paper cites.
C. Monroe et al. , Programmable quantum simulations of spin systems with trapped ions, Rev. Mod. Phys. 93
Original
1912
Earlier work this paper cites.
A. Rothkopf, Heavy Quarkonium in Extreme Conditions, Phys. Rept. 858
Original
1912
Earlier work this paper cites.
N. Wiener, Generalized harmonic analysis, Acta Mathematica 55
1930
Earlier work this paper cites.
A. Khintchine, Korrelationstheorie der stationären stochastischen Prozesse, Mathematische Annalen 109
1934
Earlier work this paper cites.
P. W. Anderson, More Is Different, Science 177
1972
Earlier work this paper cites.
B. M. McCoy and T. T. Wu, Two-dimensional Ising Field Theory in a Magnetic Field: Breakup of the Cut in the Two Point Function, Phys. Rev. D 18
1978
Earlier work this paper cites.
M. Lüscher, Volume dependence of the energy spectrum in massive quantum field theories, Commun. Math. Phys. 104
1986
Earlier work this paper cites.
A. B. Zamolodchikov, Integrals of Motion and S-Matrix of the (Scaled) T=T c
1989
Earlier work this paper cites.
J. Jensen and A. Mackintosh, Rare Earth Magnetism: Structures and Excitations , International Series of Monographs on Physics (Clarendon Press, 1991)
1991
Earlier work this paper cites.
A. Sørensen and K. Mølmer, Entanglement and quantum computation with ions in thermal motion, Phys. Rev. A 62
2000
Earlier work this paper cites.
O. A. Castro-Alvaredo, M. Lencses, I. M. Szecsenyi, and J. Viti, Entanglement Oscillations near a Quantum Critical Point, Phys. Rev. Lett. 124
Original
2001
Earlier work this paper cites.
J. Vovrosh and J. Knolle, Confinement and entanglement dynamics on a digital quantum computer, Scientific Reports 11
Original
2001
Earlier work this paper cites.
M. Greiter, Fictitious flux confinement: Magnetic pairing in coupled spin chains or planes, Phys. Rev. B 66
2002
Earlier work this paper cites.
D. Porras and J. I. Cirac, Effective quantum spin systems with trapped ions, Phys. Rev. Lett. 92
2004
Earlier work this paper cites.
H. Zou et al. , E 8 E_{8} Spectra of Quasi-one-dimensional Antiferromagnet BaCo 2 V 2 O 8 under Transverse Field, (2020), arXiv:2005.13302 [cond-mat.str-el]
Original
2005
Earlier work this paper cites.
Z. Zhang et al. , Observation of E8 Particles in an Ising Chain Antiferromagnet, Phys. Rev. B 101
Original
2005
Earlier work this paper cites.
K. Amelin, J. Engelmayer, J. Viirok, U. Nagel, T. Rõ om, T. Lorenz, and Z. Wang, Experimental Observation of Quantum Many-Body Excitations of E 8 E_{8} Symmetry in the Ising Chain Ferromagnet CoNb 2 O 6 , Phys. Rev. B 102
Original
2006
Earlier work this paper cites.
A. Schuckert and M. Knap, Probing eigenstate thermalization in quantum simulators via fluctuation-dissipation relations, Phys. Rev. Res. 2
Original
2007
Earlier work this paper cites.
A. Friedenauer, H. Schmitz, J. T. Glueckert, D. Porras, and T. Schaetz, Simulating a quantum magnet with trapped ions. Nat. Phys. 4
2008
Earlier work this paper cites.
D. Paulson et al. , Towards simulating 2D effects in lattice gauge theories on a quantum computer, (2020), arXiv:2008.09252 [quant-ph]
Original
2008
Earlier work this paper cites.
S.-J. Gu, H.-M. Kwok, W.-Q. Ning, and H.-Q. Lin, Fidelity susceptibility, scaling, and universality in quantum critical phenomena, Phys. Rev. B 77
Original
2008
Earlier work this paper cites.
B. Lake, A. M. Tsvelik, S. Notbohm, D. Alan Tennant, T. G. Perring, M. Reehuis, C. Sekar, G. Krabbes, and B. Büchner, Confinement of fractional quantum number particles in a condensed-matter system, Nature Physics 6
2009
Earlier work this paper cites.
R. Coldea, D. A. Tennant, E. M. Wheeler, E. Wawrzynska, D. Prabhakaran, M. Telling, K. Habicht, P. Smeibidl, and K. Kiefer, Quantum Criticality in an Ising Chain: Experimental Evidence for Emergent E 8 Symmetry, Science 327
Original
2010
Earlier work this paper cites.
S.-J. Gu, Fidelity approach to quantum phase transitions, International Journal of Modern Physics B 24
Original
2010
Earlier work this paper cites.

Similar

B. Horstmann, B. Reznik, S. Fagnocchi, and J. Cirac, Hawking radiation from an acoustic black hole on an ion ring, Phys. Rev. Lett. 104
2010
Cited alongside, same era.
C. Schneider, D. Porras, and T. Schaetz, Many-Body Physics with Trapped Ions, (2011), arXiv:1106.2597 [quant-ph]
Original
2011
Cited alongside, same era.
B. Friman, C. Hohne, J. Knoll, S. Leupold, J. Randrup, R. Rapp, and P. Senger, The CBM Physics Book: Compressed Baryonic Matter in Laboratory Experiments, Lect. Notes Phys. 814
2011
Cited alongside, same era.
F. M. Surace and A. Lerose, Scattering of mesons in quantum simulators, (2020), arXiv:2011.10583 [cond-mat.quant-gas]
Original
2011
Cited alongside, same era.
P. I. Karpov, G. Y. Zhu, M. P. Heller, and M. Heyl, Spatiotemporal dynamics of particle collisions in quantum spin chains, (2020), arXiv:2011.11624 [cond-mat.quant-gas]

Then

P. Jurcevic, H. Shen, P. Hauke, C. Maier, T. Brydges, C. Hempel, B. Lanyon, M. Heyl, R. Blatt, and C. Roos, Direct observation of dynamical quantum phase transitions in an interacting many-body system, Physical Review Letters 119
2017
Later among the works it cites.
J. Zhang, G. Pagano, P. W. Hess, A. Kyprianidis, P. Becker, H. Kaplan, A. V. Gorshkov, Z.-X. Gong, and C. Monroe, Observation of a many-body dynamical phase transition with a 53-qubit quantum simulator, Nature 551
2017
Later among the works it cites.
M. Kormos, M. Collura, G. Takacs, and P. Calabrese, Real-time confinement following a quantum quench to a non-integrable model, Nature Phys. 13
Original
2017
Later among the works it cites.
C. Muschik, M. Heyl, E. Martinez, T. Monz, P. Schindler, B. Vogell, M. Dalmonte, P. Hauke, R. Blatt, and P. Zoller, U(1) wilson lattice gauge theories in digital quantum simulators, New Journal of Physics 19
2017
Later among the works it cites.

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2021

Relativistic meson spectra on ion-trap quantum simulators

Knaute, Johannes, Hauke, Philipp

Understand

The recent rapid experimental advancement in the engineering of quantum many-body systems opens the avenue to controlled studies of fundamental physics problems via digital or analog quantum simulations.

Here, we systematically analyze the capability of analog ion traps to explore relativistic meson spectra on current devices.
We focus on the E_8 quantum field theory regime, which arises due to longitudinal perturbations at the critical point of the transverse-field Ising model.
As we show through exact numerics, for sufficiently strong long-range suppression in experimentally accessible spin chain models, absorption spectroscopy allows for the identification of the low-lying meson excitations with a good degree of accuracy even for small system sizes.

Built on

N. Defenu, T. Enss, and J. C. Halimeh, Dynamical criticality and domain-wall coupling in long-range Hamiltonians, Phys. Rev. B 100
Original
1902
Earlier work this paper cites.
D. Zhu, S. Johri, N. M. Linke, K. A. Landsman, N. H. Nguyen, C. H. Alderete, A. Y. Matsuura, T. H. Hsieh, and C. Monroe, Generation of thermofield double states and critical ground states with a quantum computer, Proc. Nat. Acad. Sci. 117
Original
1906
Earlier work this paper cites.
Z. Davoudi, M. Hafezi, C. Monroe, G. Pagano, A. Seif, and A. Shaw, Towards analog quantum simulations of lattice gauge theories with trapped ions, Phys. Rev. Res. 2
Original
1908
Earlier work this paper cites.
T. Hashizume, J. C. Halimeh, and I. P. McCulloch, Hybrid infinite time-evolving block decimation algorithm for long-range multidimensional quantum many-body systems, Phys. Rev. B 102
Original
1910
Earlier work this paper cites.
A. Lerose, F. M. Surace, P. P. Mazza, G. Perfetto, M. Collura, and A. Gambassi, Quasilocalized dynamics from confinement of quantum excitations, Phys. Rev. B 102
Original
1911
Earlier work this paper cites.
R. Verdel, F. Liu, S. Whitsitt, A. V. Gorshkov, and M. Heyl, Real-time dynamics of string breaking in quantum spin chains, Phys. Rev. B 102
Original
1911
Earlier work this paper cites.
M. C. Bañuls et al. , Simulating Lattice Gauge Theories within Quantum Technologies, Eur. Phys. J. D 74
Original
1911
Earlier work this paper cites.
Y. Alexeev et al. , Quantum Computer Systems for Scientific Discovery, P. R. X. Quantum. 2
Original
1912
Earlier work this paper cites.
M. C. Banuls, M. P. Heller, K. Jansen, J. Knaute, and V. Svensson, From spin chains to real-time thermal field theory using tensor networks, Phys. Rev. Res. 2
Original
1912
Earlier work this paper cites.
W. L. Tan et al. , Domain-wall confinement and dynamics in a quantum simulator, Nature Phys. 17
Original
1912
Earlier work this paper cites.
C. Monroe et al. , Programmable quantum simulations of spin systems with trapped ions, Rev. Mod. Phys. 93
Original
1912
Earlier work this paper cites.
A. Rothkopf, Heavy Quarkonium in Extreme Conditions, Phys. Rept. 858
Original
1912
Earlier work this paper cites.
N. Wiener, Generalized harmonic analysis, Acta Mathematica 55
1930
Earlier work this paper cites.
A. Khintchine, Korrelationstheorie der stationären stochastischen Prozesse, Mathematische Annalen 109
1934
Earlier work this paper cites.
P. W. Anderson, More Is Different, Science 177
1972
Earlier work this paper cites.
B. M. McCoy and T. T. Wu, Two-dimensional Ising Field Theory in a Magnetic Field: Breakup of the Cut in the Two Point Function, Phys. Rev. D 18
1978
Earlier work this paper cites.
M. Lüscher, Volume dependence of the energy spectrum in massive quantum field theories, Commun. Math. Phys. 104
1986
Earlier work this paper cites.
A. B. Zamolodchikov, Integrals of Motion and S-Matrix of the (Scaled) T=T c
1989
Earlier work this paper cites.
J. Jensen and A. Mackintosh, Rare Earth Magnetism: Structures and Excitations , International Series of Monographs on Physics (Clarendon Press, 1991)
1991
Earlier work this paper cites.
A. Sørensen and K. Mølmer, Entanglement and quantum computation with ions in thermal motion, Phys. Rev. A 62
2000
Earlier work this paper cites.
O. A. Castro-Alvaredo, M. Lencses, I. M. Szecsenyi, and J. Viti, Entanglement Oscillations near a Quantum Critical Point, Phys. Rev. Lett. 124
Original
2001
Earlier work this paper cites.
J. Vovrosh and J. Knolle, Confinement and entanglement dynamics on a digital quantum computer, Scientific Reports 11
Original
2001
Earlier work this paper cites.
M. Greiter, Fictitious flux confinement: Magnetic pairing in coupled spin chains or planes, Phys. Rev. B 66
2002
Earlier work this paper cites.
D. Porras and J. I. Cirac, Effective quantum spin systems with trapped ions, Phys. Rev. Lett. 92
2004
Earlier work this paper cites.
H. Zou et al. , E 8 E_{8} Spectra of Quasi-one-dimensional Antiferromagnet BaCo 2 V 2 O 8 under Transverse Field, (2020), arXiv:2005.13302 [cond-mat.str-el]
Original
2005
Earlier work this paper cites.
Z. Zhang et al. , Observation of E8 Particles in an Ising Chain Antiferromagnet, Phys. Rev. B 101
Original
2005
Earlier work this paper cites.
K. Amelin, J. Engelmayer, J. Viirok, U. Nagel, T. Rõ om, T. Lorenz, and Z. Wang, Experimental Observation of Quantum Many-Body Excitations of E 8 E_{8} Symmetry in the Ising Chain Ferromagnet CoNb 2 O 6 , Phys. Rev. B 102
Original
2006
Earlier work this paper cites.
A. Schuckert and M. Knap, Probing eigenstate thermalization in quantum simulators via fluctuation-dissipation relations, Phys. Rev. Res. 2
Original
2007
Earlier work this paper cites.
A. Friedenauer, H. Schmitz, J. T. Glueckert, D. Porras, and T. Schaetz, Simulating a quantum magnet with trapped ions. Nat. Phys. 4
2008
Earlier work this paper cites.
D. Paulson et al. , Towards simulating 2D effects in lattice gauge theories on a quantum computer, (2020), arXiv:2008.09252 [quant-ph]
Original
2008
Earlier work this paper cites.
S.-J. Gu, H.-M. Kwok, W.-Q. Ning, and H.-Q. Lin, Fidelity susceptibility, scaling, and universality in quantum critical phenomena, Phys. Rev. B 77
Original
2008
Earlier work this paper cites.
B. Lake, A. M. Tsvelik, S. Notbohm, D. Alan Tennant, T. G. Perring, M. Reehuis, C. Sekar, G. Krabbes, and B. Büchner, Confinement of fractional quantum number particles in a condensed-matter system, Nature Physics 6
2009
Earlier work this paper cites.
R. Coldea, D. A. Tennant, E. M. Wheeler, E. Wawrzynska, D. Prabhakaran, M. Telling, K. Habicht, P. Smeibidl, and K. Kiefer, Quantum Criticality in an Ising Chain: Experimental Evidence for Emergent E 8 Symmetry, Science 327
Original
2010
Earlier work this paper cites.
S.-J. Gu, Fidelity approach to quantum phase transitions, International Journal of Modern Physics B 24
Original
2010
Earlier work this paper cites.

Similar

B. Horstmann, B. Reznik, S. Fagnocchi, and J. Cirac, Hawking radiation from an acoustic black hole on an ion ring, Phys. Rev. Lett. 104
2010
Cited alongside, same era.
C. Schneider, D. Porras, and T. Schaetz, Many-Body Physics with Trapped Ions, (2011), arXiv:1106.2597 [quant-ph]
Original
2011
Cited alongside, same era.
B. Friman, C. Hohne, J. Knoll, S. Leupold, J. Randrup, R. Rapp, and P. Senger, The CBM Physics Book: Compressed Baryonic Matter in Laboratory Experiments, Lect. Notes Phys. 814
2011
Cited alongside, same era.
F. M. Surace and A. Lerose, Scattering of mesons in quantum simulators, (2020), arXiv:2011.10583 [cond-mat.quant-gas]
Original
2011
Cited alongside, same era.
P. I. Karpov, G. Y. Zhu, M. P. Heller, and M. Heyl, Spatiotemporal dynamics of particle collisions in quantum spin chains, (2020), arXiv:2011.11624 [cond-mat.quant-gas]

Then

P. Jurcevic, H. Shen, P. Hauke, C. Maier, T. Brydges, C. Hempel, B. Lanyon, M. Heyl, R. Blatt, and C. Roos, Direct observation of dynamical quantum phase transitions in an interacting many-body system, Physical Review Letters 119
2017
Later among the works it cites.
J. Zhang, G. Pagano, P. W. Hess, A. Kyprianidis, P. Becker, H. Kaplan, A. V. Gorshkov, Z.-X. Gong, and C. Monroe, Observation of a many-body dynamical phase transition with a 53-qubit quantum simulator, Nature 551
2017
Later among the works it cites.
M. Kormos, M. Collura, G. Takacs, and P. Calabrese, Real-time confinement following a quantum quench to a non-integrable model, Nature Phys. 13
Original
2017
Later among the works it cites.
C. Muschik, M. Heyl, E. Martinez, T. Monz, P. Schindler, B. Vogell, M. Dalmonte, P. Hauke, R. Blatt, and P. Zoller, U(1) wilson lattice gauge theories in digital quantum simulators, New Journal of Physics 19
2017
Later among the works it cites.

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

Original

2011

Cited alongside, same era.

S. Sachdev, Quantum Phase Transitions , 2nd ed. (Cambridge University Press, 2011)

2011

Cited alongside, same era.

J. A. Kjäll, F. Pollmann, and J. E. Moore, Bound states and E 8 symmetry effects in perturbed quantum Ising chains, Phys. Rev. B 83

Original

2011

Cited alongside, same era.

B. Horstmann, R. Schützhold, B. Reznik, S. Fagnocchi, and J. Cirac, Hawking radiation on an ion ring in the quantum regime, New J. Phys. 13

2011

Cited alongside, same era.

P. Hauke, F. M. Cucchietti, L. Tagliacozzo, I. Deutsch, and M. Lewenstein, Can one trust quantum simulators? Rep. Prog. Phys. 75

2012

Cited alongside, same era.

J. I. Cirac and P. Zoller, Goals and opportunities in quantum simulation, Nat. Phys. 8

2012

Cited alongside, same era.

R. Blatt and C. F. Roos, Quantum simulations with trapped ions, Nat. Phys. 8

2012

Cited alongside, same era.

J. W. Britton, B. C. Sawyer, A. C. Keith, C.-C. J. Wang, J. K. Freericks, H. Uys, M. J. Biercuk, and J. J. Bollinger, Engineered two-dimensional ising interactions in a trapped-ion quantum simulator with hundreds of spins, Nature 484

2012

Cited alongside, same era.

P. Nevado, S. Fernandez-Lorenzo, and D. Porras, Topological edge states in periodically driven trapped-ion chains, Physical Review Letters 119

Original

2017