We investigate photovoltaic effect of atomtronics induced by artificial gauge field in four optical potentials. Effective magnetic flux gives rise to polarization of atom occupation probability which creates current of atomtronics. The relation between atomic current and magnetic flux behaves like the current-phase property in Josephson junction. The photovoltaic cell is well defined by the atomic opened system which have effective voltage and two different poles that correspond to two internal states of atomtronics. The atom flow is controllable by changing the direction of incident light and other system parameters. Detection of the atomic current intensity is available through light emission optical spectrum in experiments.PACS numbers: 37.10. Gh, 72.40.+w, 03.65.Yz, 05.60.Gg Photovoltaic transistors of electrons are widely studied in semiconductors [1][2][3][4][5][6][7][8]. To enhance the efficiency of such transistors, there is a tendency that electronic components are manufactured smaller and smaller in size. When the size of these devices becomes very tiny, electrons would hard to be detectable and their heat effect becomes serious. In contrast, atoms are very active in light and have much large volume comparing with electrons, the former appear more advantages in designing future devices [9]. Atomic transistors are widely studied recently by creating non-equilibrium states of atomic gas [11][12][13][14]. However, at least two basic conditions should be necessary for a photovoltaic atomic transistor. One is coupling between momentum of atoms and applied light, the other is an opened system of atoms.Momentum can transmit from electromagnetic field to atoms through spin-orbit coupling [15][16][17][18][19][20][21][22]. The effect of spin-orbit coupling in atomic system has been developed recently using artificial gauge field and interesting phenomenons are exploited such as effective magnetic flux in synthetic dimensions of atoms [23][24][25], quantum spin Hall effect [26][27][28], chiral conductors [29][30][31], superradiance induced particle flow [32], Kondo effect [33,34]. In the above phenomenons, dynamics of atoms play like charged particles in electromagnetic fields [35][36][37][38][39][40][41]. The earlier works reveal that atoms perform differently in special motion depending on their internal states in artificial gauge fields.In this Letter, we combine the electrodynamic feature of atoms in artificial gauge field and local optical potentials to propose a model of atomic photovoltaic cell. Similar to electrons in semiconductor quantum dots, cold atoms can be trapped in a particular optical wells [42,43]. Quite recently, the opened system of cold atoms has been realized in experiments based on the optical wells [44,45], where nonequilibrium atom flow has been observed under different chemical potentials. In order to create net current we need at least two atomic quantum dots to grantee that the phase of atom wave function coherently amplified when the atom moves from one dot to the other FIG. 1: (Co...