Pith Number

pith:RLUKAAN7

pith:2026:RLUKAAN7R5WIFPIVJHSU7SFHHC

not attested not anchored not stored refs resolved

Time Crystals in Coupled Exciton-Polariton Condensates

Alexey Kavokin, Hong-Jin Xiong, Sanjib Ghosh, Xuan Ye

Time crystals form in coupled exciton-polariton condensates from steady incoherent gain and loss alone.

arxiv:2605.14250 v1 · 2026-05-14 · cond-mat.quant-gas

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Claims

C1strongest claim

The time-crystalline phase requires the ratio of Kerr nonlinearity to nonlinear dissipation to exceed √(5/4); within this regime the periodic oscillation of particle numbers is an attractor insensitive to initial conditions, and leading-order quantum corrections remain periodic and much smaller than the mean-field background.

C2weakest assumption

The specific forms of incoherent gain and dissipation channels in the quantum master equation are assumed to be sufficient to stabilize the time crystal without external driving, and that the mean-field limit plus Bogoliubov corrections accurately capture the physics before higher-order effects appear.

C3one line summary

Time crystals emerge in undriven coupled polariton condensates when the Kerr nonlinearity exceeds nonlinear dissipation by a factor greater than √(5/4), with stable periodic oscillations and small quantum corrections.

References

61 extracted · 61 resolved · 0 Pith anchors

[1] Quantum time crystals.Phys 2012

[2] Classical time crystals.Phys 2012

[3] Superfluidity and space-time translation symmetry breaking.Phys 2013

[4] Tongcang Li, Zhe-Xuan Gong, Zhang-Qi Yin, H. T. Quan, Xiaobo Yin, Peng Zhang, L.-M. Duan, and Xiang Zhang. Space-time crystals of trapped ions.Phys. Rev. Lett., 109:163001, Oct 2012 2012

[5] Impossibility of spontaneously rotating time crystals: A no-go theorem 2013

Receipt and verification

First computed	2026-05-17T23:39:10.572689Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ae8a001bf8f6c82bd1549e54fc8a738a625138a8234460fdf139a320449cd28

Aliases

arxiv: 2605.14250 · arxiv_version: 2605.14250v1 · doi: 10.48550/arxiv.2605.14250 · pith_short_12: RLUKAAN7R5WI · pith_short_16: RLUKAAN7R5WIFPIV · pith_short_8: RLUKAAN7

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/RLUKAAN7R5WIFPIVJHSU7SFHHC \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 8ae8a001bf8f6c82bd1549e54fc8a738a625138a8234460fdf139a320449cd28

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "381955c4a1d96b8c9c7bb8bb2d12bed25aeb9e069fbbc4adb647da0aa377ee63",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.quant-gas",
    "submitted_at": "2026-05-14T01:37:44Z",
    "title_canon_sha256": "39bc9e823c493a1967e0e99b639c3d43a955e1beadd674b6098ef19c472219e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.14250",
    "kind": "arxiv",
    "version": 1
  }
}