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From Topological Matter to Relativistic Quantum Vacuum

Total Cost €


EC-Contrib. €






Project "TOPVAC" data sheet

The following table provides information about the project.


Organization address
address: OTAKAARI 1
city: ESPOO
postcode: 2150

contact info
title: n.a.
name: n.a.
surname: n.a.
function: n.a.
email: n.a.
telephone: n.a.
fax: n.a.

 Coordinator Country Finland [FI]
 Total cost 2˙159˙191 €
 EC max contribution 2˙159˙191 € (100%)
 Programme 1. H2020-EU.1.1. (EXCELLENT SCIENCE - European Research Council (ERC))
 Code Call ERC-2015-AdG
 Funding Scheme ERC-ADG
 Starting year 2016
 Duration (year-month-day) from 2016-10-01   to  2021-09-30


Take a look of project's partnership.

# participants  country  role  EC contrib. [€] 
1    AALTO KORKEAKOULUSAATIO SR FI (ESPOO) coordinator 2˙159˙191.00


 Project objective

The structure of relativistic quantum vacuum (RQV) in our Universe is one of the main challenges in modern physics. We plan to advance our understanding of the vacuum structure and on this basis treat the most important unsolved problems in physics, such as the cosmological constant problem (why the measured vacuum energy is 120 orders of magnitude smaller than estimates from the zero point motion) and the hierarchy problem (why the masses of the known particles in the Standard Model (SM) of particle physics are much smaller than the Planck energy). The quantum vacuum shares many common properties with topological matter. The goal of the proposal is to concentrate both theoretical and experimental efforts in the investigation of connections between the topological quantum matter and RQV, to enhance understanding of topological condensed-matter systems especially in the ultra-low-temperature regime, and to apply this experience to solution of problems in SM & cosmology. As a condensed-matter system we shall use superfluid phases of liquid 3He – unique topological materials, which are the most close to SM and gravity: Superfluid 3He-A, where the low-energy excitations are topologically protected Weyl fermions, gauge bosons, and gravitons, is similar to the vacuum of SM above the electroweak transition. The fully gapped topological superfluid 3He-B with its Higgs bosons is the counterpart of SM vacuum in its broken symmetry phase. In particular, theory of relaxation of dark energy will be accompanied by experimental study of resonant decay of coherent states of non-equilibrium superfluid vacuum. Determination of the topological classes of the quantum vacua of SM including the vacua with Majorana fermions will be accompanied by experimental studies of Majorana fermions on the boundaries of topological superfluids and in cores of quantized vortices. Theory of extra Higgs bosons in SM will be accompanied by experimental study of light and heavy Higgs modes in 3He-B.


year authors and title journal last update
List of publications.
2019 Frans R. Klinkhamer, Osvaldo P. Santillán, Grigory E. Volovik, Albert Zhou
Vacuum Energy Decay from a q-Bubble
published pages: 321-338, ISSN: 2624-8174, DOI: 10.3390/physics1030024
Physics 1/3 2019-11-22
2019 G. E. Volovik
Two Roads to Antispacetime in Distorted B Phase: Kibble Wall and Half-Quantum Vortex
published pages: 499-501, ISSN: 0021-3640, DOI: 10.1134/S0021364019080034
JETP Letters 109/8 2019-11-22
2019 J. Nissinen, G. E. Volovik
Elasticity tetrads, mixed axial-gravitational anomalies, and ( 3 + 1 )-d quantum Hall effect
published pages: , ISSN: 2643-1564, DOI: 10.1103/PhysRevResearch.1.023007
Physical Review Research 1/2 2019-11-22
2019 G. E. Volovik
Comment to the CPT-Symmetric Universe: Two Possible Extensions
published pages: 682-683, ISSN: 0021-3640, DOI: 10.1134/S0021364019100023
JETP Letters 109/10 2019-11-22
2019 F. R. Klinkhamer, G. E. Volovik
Tetrads and q-Theory
published pages: 364-367, ISSN: 0021-3640, DOI: 10.1134/S0021364019060031
JETP Letters 109/6 2019-11-22
2019 G.E. Volovik
50 years in the Landau Institute environment
published pages: , ISSN: 1063-7869, DOI: 10.3367/ufne.2019.04.038560
Physics-Uspekhi 62/10 2019-11-20
2018 J. Nissinen, G. E. Volovik
Dimensional crossover of effective orbital dynamics in polar distorted He 3 − A : Transitions to antispacetime
published pages: , ISSN: 2470-0010, DOI: 10.1103/PhysRevD.97.025018
Physical Review D 97/2 2019-09-27
2018 G. E. Volovik
Polar Phase of Superfluid 3He: Dirac Lines in the Parameter and Momentum Spaces
published pages: 324-326, ISSN: 0021-3640, DOI: 10.1134/s002136401805003x
JETP Letters 107/5 2019-09-27
2017 G. E. Volovik, K. Zhang
Lifshitz Transitions, Type-II Dirac and Weyl Fermions, Event Horizon and All That
published pages: 276-299, ISSN: 0022-2291, DOI: 10.1007/s10909-017-1817-8
Journal of Low Temperature Physics 189/5-6 2019-09-27
2017 J. Nissinen, G. E. Volovik
Effective Minkowski-to-Euclidean signature change of the magnon BEC pseudo-Goldstone mode in polar 3He
published pages: 234-241, ISSN: 0021-3640, DOI: 10.1134/S0021364017160032
JETP Letters 106/4 2019-09-27
2018 G. E. Volovik
Graphite, graphene and the flat band superconductivity
published pages: , ISSN: 0021-3640, DOI: 10.1134/s0021364018080052
JETP Letters 2019-09-27
2018 S. Autti, P. J. Heikkinen, G. E. Volovik, V. V. Zavjalov, V. B. Eltsov
Propagation of self-localized Q -ball solitons in the He 3 universe
published pages: , ISSN: 2469-9950, DOI: 10.1103/PhysRevB.97.014518
Physical Review B 97/1 2019-09-27
2017 F. R. Klinkhamer, G. E. Volovik
Propagating q -field and q -ball solution
published pages: 1750103, ISSN: 0217-7323, DOI: 10.1142/s0217732317501036
Modern Physics Letters A 32/18 2019-09-27
2018 J. Nissinen, G. E. Volovik
Tetrads in Solids: from Elasticity Theory to Topological Quantum Hall Systems and Weyl Fermions
published pages: 948-957, ISSN: 1063-7761, DOI: 10.1134/S1063776118110080
Journal of Experimental and Theoretical Physics 127/5 2019-09-27
2019 J. T. Mäkinen, V. V. Dmitriev, J. Nissinen, J. Rysti, G. E. Volovik, A. N. Yudin, K. Zhang, V. B. Eltsov
Half-quantum vortices and walls bounded by strings in the polar-distorted phases of topological superfluid 3He
published pages: , ISSN: 2041-1723, DOI: 10.1038/s41467-018-08204-8
Nature Communications 10/1 2019-09-27
2018 S. Autti, V. B. Eltsov, G. E. Volovik
Observation of a Time Quasicrystal and Its Transition to a Superfluid Time Crystal
published pages: , ISSN: 0031-9007, DOI: 10.1103/PhysRevLett.120.215301
Physical Review Letters 120/21 2019-09-27
2018 G E Volovik
Exotic Lifshitz transitions in topological materials
published pages: 89-98, ISSN: 1063-7869, DOI: 10.3367/UFNe.2017.01.038218
Physics-Uspekhi 61/1 2019-09-27
2018 S. Autti, V. V. Dmitriev, J. T. Mäkinen, J. Rysti, A. A. Soldatov, G. E. Volovik, A. N. Yudin, V. B. Eltsov
Bose-Einstein Condensation of Magnons and Spin Superfluidity in the Polar Phase of He 3
published pages: , ISSN: 0031-9007, DOI: 10.1103/PhysRevLett.121.025303
Physical Review Letters 121/2 2019-09-27
2019 G. E. Volovik
Negative Temperature for Negative Lapse Function
published pages: , ISSN: 0021-3640, DOI: 10.1134/S002136401901003X
JETP Letters 2019-09-27
2018 T. S. Riekki, J. Rysti, J. T. Mäkinen, A. P. Sebedash, V. B. Eltsov, J. T. Tuoriniemi
Effects of 4He Film on Quartz Tuning Forks in 3He at Ultra-low Temperatures
published pages: , ISSN: 0022-2291, DOI: 10.1007/s10909-018-02141-y
Journal of Low Temperature Physics 2019-09-27
2017 Aron J. Beekman, Jaakko Nissinen, Kai Wu, Jan Zaanen
Dual gauge field theory of quantum liquid crystals in three dimensions
published pages: , ISSN: 2469-9950, DOI: 10.1103/physrevb.96.165115
Physical Review B 96/16 2019-09-27
2018 G. E. Volovik, J. Rysti, J. T. Mäkinen, V. B. Eltsov
Spin, Orbital, Weyl and Other Glasses in Topological Superfluids
published pages: , ISSN: 0022-2291, DOI: 10.1007/s10909-018-02132-z
Journal of Low Temperature Physics 2019-09-27
2017 G. E. Volovik
Chiral vortical effect generated by chiral anomaly in vortex-skyrmions
published pages: 303-306, ISSN: 0021-3640, DOI: 10.1134/S0021364017050022
JETP Letters 105/5 2019-09-27
2017 J. Nissinen, G. E. Volovik
Type-III and IV interacting Weyl points
published pages: 447-452, ISSN: 0021-3640, DOI: 10.1134/S0021364017070013
JETP Letters 105/7 2019-09-27
2017 F. R. Klinkhamer, M. Savelainen, G. E. Volovik
Relaxation of vacuum energy in q-theory
published pages: 268-277, ISSN: 1063-7761, DOI: 10.1134/S1063776117080052
Journal of Experimental and Theoretical Physics 125/2 2019-09-27
2017 K. Zhang, G. E. Volovik
Lifshitz transitions via the type-II dirac and type-II Weyl points
published pages: 519-525, ISSN: 0021-3640, DOI: 10.1134/S0021364017080094
JETP Letters 105/8 2019-09-27
2017 F. R. Klinkhamer, G. E. Volovik
Dark matter from dark energy in q-theory
published pages: 74-77, ISSN: 0021-3640, DOI: 10.1134/S0021364017020011
JETP Letters 105/2 2019-09-27
2016 G. E. Volovik
Black hole and hawking radiation by type-II Weyl fermions
published pages: 645-648, ISSN: 0021-3640, DOI: 10.1134/S0021364016210050
JETP Letters 104/9 2019-09-27
2017 G. E. Volovik
On the chiral magnetic effect in Weyl superfluid 3He-A
published pages: 34-37, ISSN: 0021-3640, DOI: 10.1134/S0021364017010076
JETP Letters 105/1 2019-09-27
2017 G E Volovik, M A Zubkov
Standard model as the topological material
published pages: 15009, ISSN: 1367-2630, DOI: 10.1088/1367-2630/aa573d
New Journal of Physics 19/1 2019-09-27

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