Actually, I want to replicate a simple strip feeding unit which is controlled by a PLC. The motor used is TC57-40-01 but I want to use a little bigger motor something like this.
That link is undoubtedly a 3ph motor, you need a sophisticated controller or make one, which is no mean feat.
I don't understand why they name it a 1ph?
Max.
As abuhafee said, you will need a controller/drive between the Arduino and the motor. These are not simple DIY things. Google "AC servo drive".
Look for the spec sheets or manuals. They will tell you what kind of input is required to control the servo control.
And you will have to deal with cables with compatable connectors between the controller/drive and the motor. Also between the controller and the Arduino. You also may need to make a circuit to interface between the Arduino and the controller if the outputs from the Arduino is not directly compatible with the controller's input.
Also if running this motor as true servo, (not open loop), you need to know the nature of the commutation sensing method, also the type of position encoder and its format and resolution etc.
Max.
Let's assume for a minute that you have purchased a compatible pair of AC servo motor, drive, and cables. Let's also assume you were able to work with your Chinese supplier to get the configuration software to set the drive up for your preferred method of operation (indexing for example), then yes, it can be controlled with an arduino using the digital inputs on the drive.
I supported servo motors at my day job for years. They are complicated and until you have selected the drive, we can't give you a definitive answer on if it will work. Be careful with buying systems from China. All AC servos require configuration and I have personally seen too many people get screwed because the drive comes with no documentation, software, or support.
Low cost servo options that don't come from China are: DMM Technology, Clearpath, Used Allen Bradley Ultra 3000, etc.